The following phones don't have strings related to games in their firmware files:

1100 (RH-18, RH-38), 1100b (RH-36), 1101 (RH-75),

1110 (RH-70)

Region	Pocket Carrom	Dice Games	Snake Xenzia	Rapid Roll
aa	1	2	3
ab	1	2	3
ac	1	2	3
ad	1	2	3
ae	1	2	3
af	1	2	3
ag	1	2	3
ah	1	2	3
ea	1	2	3
eb	1	2	3
ec	1	2	3
ed	1	2	3
ee	1	2	3
ef	1	2	3
eg	1	2	3
eh	1	2	3
ei	1	2	3
ej	1	2	3
ek	1	2	3
ia	1	2	3
ib	1	2	3
ic	1	2	3
id	1	2	3
ie	1	2	3
if	1	2	3
ma	1	2	3
mb	1	2	3
mc	1	2	3
md	1	2	3
me	1	2	3
mf	1	2	3
mg	1	2	3
mh	1	2	3
mi	1	2	3
mj	1	2	3
qa		2	3	1
qb		2	3	1
qc		2	3	1
ua		2	3	1
ud		2	3	1

In addition, there are two "demo" nai files (AA region only):

rh700_nai4.03aa_demo_1: Pocket Carrom, Adventure Quiz, Dice Games, Snake Xenzia
rh700_nai4.03aa_demo_2: Manage It!, Soccer League, Rapid Roll, Cricket Cup

1280 (RM-647)

Region	Beach Rally	Bounce	Snake Xenzia	Soccer League	Forbidden Treasures	Sudoku	Rapid Roll	Cricket Cup
aa	1	2	3
ad	1	2	3
ae	1	2	3
af	1	2	3
ag	1	2	3
ah	1	2	3
ea	1	2	3
ec	1	2	3
ed	1	2	3
ee	1	2	3
ef	1	2	3
eg	1	2	3
eh	1	2	3
ei	1	2	3
ej	1	2	3
ek	1	2	3
el	1	2	3
em	1	2	3
en	1	2	3
eo	1	2	3
ep	1	2	3
er	1	2	3
es	1	2	3
ia		1	3	2
ib		2			1	3
ic		2			1	3
id		1	3	2
ie		1	3	2
ij		1	3	2
ik		1	3	2
il		1	3	2
im		1	3	2
ip		2			1	3
ma		1	3				2
mb		1	3				2
mc		1	3				2
md		1	3				2
me		1	3				2
mf		1	3				2
mg		1	3					2
mh		1	3					2
mi		1	3					2
mj		1	3					2
mk		1	3					2
mm		1	3					2
mn		1	3					2
mo		1	3					2
mp		1	3				2
mr		1	3				2
ms		1	3				2
mu		1	3					2
oo	1	2	3
qa	1		3			2
qb	1		3			2
qc	1		3			2
ua		1	3				2
ud		1	3				2

1600 (RH-64) & 1600b (RH-65)

Region	Snake Xenzia	Soccer League	Rapid Roll	Pocket Carrom	Cricket Cup	Dice Games	Adventure Quiz
aa	1	2	3
ab	1	2	3
ac	1	2	3
ad	1	2	3
ae	1	2	3
af	1	2	3
ag	1	2	3
ah	1	2	3
ea	1	2	3
eb	1	2	3
ec	1	2	3
ed	1	2	3
ee	1	2	3
ef	1	2	3
eg	1	2	3
eh	1	2	3
ei	1	2	3
ej	1	2	3
ek	1	2	3
ia	1	2	3
ib	1	2	3
ic	1	2	3
id	1	2	3
ie	1	2	3
ma		2		1	3
mb		2		1	3
mc		2		1	3
md		2		1	3
me		2		1	3
mf		2		1	3
mg		2		1	3
mh		2		1	3
mi		2		1	3
mj		2		1	3
qa	1		2			3
qb	1		2			3
qc	1		2			3
ua		1	2			3
ub_lta		1	2			3
ub_na			1			3	2
ud		1	2			3

In addition, there are two "demo" nai files (AA region only):

rh640_nai7.02aa_demo_1: Snake Xenzia, Pocket Carrom, Adventure Quiz, Dice Games
rh640_nai7.02aa_demo_2: Manage It!, Soccer League, Rapid Roll, Cricket Cup

"Manage It!" is not on regular firmwares for any region, and "Adventure Quiz" is exclusive to 1600b (RH-65) in North America (ub_na).

1616 (RH-125)

Region	Forbidden Treasures	Vacation Solitaire	Sudoku	Beach Rally	Chess Puzzle	Nature Park	Bounce	Snake Xenzia	Rapid Roll	Cricket Cup	Soccer League	Life Tools
aa	1	2	3
ad	1	2	3
ae	1	2	3
af	1	2	3
ag	1	2	3
ah	1	2	3
ea	1	2	3
eb				1	2	3
ec	1	2	3
ed	1	2	3
ee	1	2	3
ef	1	2	3
eg	1	2	3
eh	1	2	3
ei	1						2	3
ej	1						2	3
ek	1	2	3
el	1						2	3
em	1						2	3
en	1						2	3
eo	1						2	3
ep	1						2	3
er	1	2	3
es	1	2	3
ia	1	2					3
ib	1	2					3
ic	1	2					3
id	1	2					3
ie	1	2					3
ij	1	2					3
ik	1	2					3
il	1	2					3
im	1	2					3
ip	1	2					3
ma	1						2		3
mb	1						2		3
mc	1						2		3
md	1						2		3
me	1						2		3
me_nlt	1						2					3
mf	1						2		3
mg		1					2			3
mg_nlt		1								2		3
mh		1					2			3
mh_nlt		1								2		3
mi		1					2			3
mi_nlt		1								2		3
mj		1					2			3
mj_nlt		1								2		3
mk		1					2			3
mk_nlt		1								2		3
mm		1					2			3
mm_nlt		1								2		3
mn		1					2			3
mn_nlt		1								2		3
mo		1					2			3
mo_nlt		1								2		3
mp	1						2		3
mr	1						2		3
ms	1						2		3
mu		1					2			3
mu_nlt		1								2		3
oo	1	2	3
qa	1		2					3
qa_nlt	1							3				2
qb	1		2					3
qc	1		2					3
ua	1	2									3
ud	1	2									3

1800 (RM-653)

Region	Sudoku	Forbidden Treasures	Vacation Solitaire	Snake Xenzia	Bounce	Soccer League	Beach Rally	Life Tools
aa	1	2	3
ad	1	2	3
ae	1	2	3
af	1	2	3
ag	1	2	3
ah	1	2	3
ea	1	2	3
eb	1	2	3
ec	1	2	3
ed	1	2	3
ee	1	2	3
ef	1	2	3
eg	1	2	3
eh	1	2	3
ei			3	1	2
ej			3	1	2
ek	1	2	3
el			3	1	2
em			3	1	2
en			3	1	2
eo			3	1	2
ep			3	1	2
er	1	2	3
es	1	2	3
ia		3			2	1
ib	2	3			1
ic	2	3			1
id		3			2	1
ie		3			2	1
ij		3			2	1
ik		3			2	1
il		3			2	1
im		3			2	1
ip		3			2	1
ma		3		1	2
mb		3		1	2
mc		3		1	2
md		3		1	2
me		3		1	2
me_nlt				1	2			3
mf		3		1	2
mg		3		1	2
mg_nlt				1	2			3
mh		3		1	2
mh_nlt				1	2			3
mi		3		1	2
mi_nlt				1	2			3
mj		3		1	2
mj_nlt				1	2			3
mk		3		1	2
mk_nlt				1	2			3
mm		3		1	2
mm_nlt				1	2			3
mn		3		1	2
mn_nlt				1	2			3
mo		3		1	2
mo_nlt				1	2			3
mp		3		1	2
mr		3		1	2
ms		3		1	2
mu		3		1	2
mu_nlt				1	2			3
oo	1	2	3
qa	2			1			3
qa_nlt	2			1				3
qb	2			1			3
qc	2			1			3
ua		3			2	1
ud		3			2	1

2600 (RH-59)

The games reside in "nai files", with file names in the following form: rh590_nai5.24ac_4, in which "5.24" is the version number, "ac" is the region identifier, and "4" is the variant identifier.

For 3.28 (oldest version available on archive.org), only one variant is available for each region:

rh590_nai3.28aa_4
rh590_nai3.28ab_4
rh590_nai3.28ad_4
rh590_nai3.28ae_4
rh590_nai3.28af_4
rh590_nai3.28ag_4
rh590_nai3.28ah_4
rh590_nai3.28ea_4
rh590_nai3.28eb_4
rh590_nai3.28ec_4
rh590_nai3.28ed_4
rh590_nai3.28ee_4
rh590_nai3.28ef_4
rh590_nai3.28eg_4
rh590_nai3.28eh_4
rh590_nai3.28ei_4
rh590_nai3.28ej_4
rh590_nai3.28ek_4
rh590_nai3.28ia_4
rh590_nai3.28ib_4
rh590_nai3.28ic_4
rh590_nai3.28id_4
rh590_nai3.28ie_4
rh590_nai3.28ma_2
rh590_nai3.28mb_2
rh590_nai3.28mc_2
rh590_nai3.28md_2
rh590_nai3.28me_2
rh590_nai3.28qa_1
rh590_nai3.28qb_2
rh590_nai3.28qc_2
rh590_nai3.28qd_1
rh590_nai3.28qe_1
rh59r_nai3.28ua_2

Since no later than 3.36, all 4 variants are available for all regions.

The variants are:

Variant	Bounce	Nature Park	Mobile Soccer	Millenium Mission
1	✗	✓	✓	✓
2	✓	✗	✓	✓
3	✓	✓	✗	✓
4	✓	✓	✓	✗

Region	Pocket Carrom	Dice Games	Snake Xenzia	Rapid Roll
aa	1	2	3
ab	1	2	3
ac	1	2	3
ad	1	2	3
ae	1	2	3
af	1	2	3
ag	1	2	3
ah	1	2	3
ea	1	2	3
eb	1	2	3
ec	1	2	3
ed	1	2	3
ee	1	2	3
ef	1	2	3
eg	1	2	3
eh	1	2	3
ei	1	2	3
ej	1	2	3
ek	1	2	3
ia	1	2	3
ib	1	2	3
ic	1	2	3
id	1	2	3
ie	1	2	3
if	1	2	3
ma	1	2	3
mb	1	2	3
mc	1	2	3
md	1	2	3
me	1	2	3
mf	1	2	3
mg	1	2	3
mh	1	2	3
mi	1	2	3
mj	1	2	3
qa		2	3	1
qb		2	3	1
qc		2	3	1
ua		2	3	1
ud		2	3	1

Region	Beach Rally	Bounce	Snake Xenzia	Soccer League	Forbidden Treasures	Sudoku	Rapid Roll	Cricket Cup
aa	1	2	3
ad	1	2	3
ae	1	2	3
af	1	2	3
ag	1	2	3
ah	1	2	3
ea	1	2	3
ec	1	2	3
ed	1	2	3
ee	1	2	3
ef	1	2	3
eg	1	2	3
eh	1	2	3
ei	1	2	3
ej	1	2	3
ek	1	2	3
el	1	2	3
em	1	2	3
en	1	2	3
eo	1	2	3
ep	1	2	3
er	1	2	3
es	1	2	3
ia		1	3	2
ib		2			1	3
ic		2			1	3
id		1	3	2
ie		1	3	2
ij		1	3	2
ik		1	3	2
il		1	3	2
im		1	3	2
ip		2			1	3
ma		1	3				2
mb		1	3				2
mc		1	3				2
md		1	3				2
me		1	3				2
mf		1	3				2
mg		1	3					2
mh		1	3					2
mi		1	3					2
mj		1	3					2
mk		1	3					2
mm		1	3					2
mn		1	3					2
mo		1	3					2
mp		1	3				2
mr		1	3				2
ms		1	3				2
mu		1	3					2
oo	1	2	3
qa	1		3			2
qb	1		3			2
qc	1		3			2
ua		1	3				2
ud		1	3				2

Region	Pocket Carrom	Dice Games	Snake Xenzia	Rapid Roll
aa	1	2	3
ab	1	2	3
ac	1	2	3
ad	1	2	3
ae	1	2	3
af	1	2	3
ag	1	2	3
ah	1	2	3
ea	1	2	3
eb	1	2	3
ec	1	2	3
ed	1	2	3
ee	1	2	3
ef	1	2	3
eg	1	2	3
eh	1	2	3
ei	1	2	3
ej	1	2	3
ek	1	2	3
ia	1	2	3
ib	1	2	3
ic	1	2	3
id	1	2	3
ie	1	2	3
if	1	2	3
ma	1	2	3
mb	1	2	3
mc	1	2	3
md	1	2	3
me	1	2	3
mf	1	2	3
mg	1	2	3
mh	1	2	3
mi	1	2	3
mj	1	2	3
qa		2	3	1
qb		2	3	1
qc		2	3	1
ua		2	3	1
ud		2	3	1

Region	Beach Rally	Bounce	Snake Xenzia	Soccer League	Forbidden Treasures	Sudoku	Rapid Roll	Cricket Cup
aa	1	2	3
ad	1	2	3
ae	1	2	3
af	1	2	3
ag	1	2	3
ah	1	2	3
ea	1	2	3
ec	1	2	3
ed	1	2	3
ee	1	2	3
ef	1	2	3
eg	1	2	3
eh	1	2	3
ei	1	2	3
ej	1	2	3
ek	1	2	3
el	1	2	3
em	1	2	3
en	1	2	3
eo	1	2	3
ep	1	2	3
er	1	2	3
es	1	2	3
ia		1	3	2
ib		2			1	3
ic		2			1	3
id		1	3	2
ie		1	3	2
ij		1	3	2
ik		1	3	2
il		1	3	2
im		1	3	2
ip		2			1	3
ma		1	3				2
mb		1	3				2
mc		1	3				2
md		1	3				2
me		1	3				2
mf		1	3				2
mg		1	3					2
mh		1	3					2
mi		1	3					2
mj		1	3					2
mk		1	3					2
mm		1	3					2
mn		1	3					2
mo		1	3					2
mp		1	3				2
mr		1	3				2
ms		1	3				2
mu		1	3					2
oo	1	2	3
qa	1		3			2
qb	1		3			2
qc	1		3			2
ua		1	3				2
ud		1	3				2

Region	Pocket Carrom	Dice Games	Snake Xenzia	Rapid Roll
aa	1	2	3
ab	1	2	3
ac	1	2	3
ad	1	2	3
ae	1	2	3
af	1	2	3
ag	1	2	3
ah	1	2	3
ea	1	2	3
eb	1	2	3
ec	1	2	3
ed	1	2	3
ee	1	2	3
ef	1	2	3
eg	1	2	3
eh	1	2	3
ei	1	2	3
ej	1	2	3
ek	1	2	3
ia	1	2	3
ib	1	2	3
ic	1	2	3
id	1	2	3
ie	1	2	3
if	1	2	3
ma	1	2	3
mb	1	2	3
mc	1	2	3
md	1	2	3
me	1	2	3
mf	1	2	3
mg	1	2	3
mh	1	2	3
mi	1	2	3
mj	1	2	3
qa		2	3	1
qb		2	3	1
qc		2	3	1
ua		2	3	1
ud		2	3	1

Region	Beach Rally	Bounce	Snake Xenzia	Soccer League	Forbidden Treasures	Sudoku	Rapid Roll	Cricket Cup
aa	1	2	3
ad	1	2	3
ae	1	2	3
af	1	2	3
ag	1	2	3
ah	1	2	3
ea	1	2	3
ec	1	2	3
ed	1	2	3
ee	1	2	3
ef	1	2	3
eg	1	2	3
eh	1	2	3
ei	1	2	3
ej	1	2	3
ek	1	2	3
el	1	2	3
em	1	2	3
en	1	2	3
eo	1	2	3
ep	1	2	3
er	1	2	3
es	1	2	3
ia		1	3	2
ib		2			1	3
ic		2			1	3
id		1	3	2
ie		1	3	2
ij		1	3	2
ik		1	3	2
il		1	3	2
im		1	3	2
ip		2			1	3
ma		1	3				2
mb		1	3				2
mc		1	3				2
md		1	3				2
me		1	3				2
mf		1	3				2
mg		1	3					2
mh		1	3					2
mi		1	3					2
mj		1	3					2
mk		1	3					2
mm		1	3					2
mn		1	3					2
mo		1	3					2
mp		1	3				2
mr		1	3				2
ms		1	3				2
mu		1	3					2
oo	1	2	3
qa	1		3			2
qb	1		3			2
qc	1		3			2
ua		1	3				2
ud		1	3				2