These are some that come to mind first to me. Not all are exclusives, and not all are my top game on the platform (though many are). A few I haven't even played.
NES: Super Mario Bros.
GB: Pokemon Red/Blue
SNES: Super Mario World
N64: Super Mario 64
GBC: Pokemon Gold/Silver
GBA: Wario Land 4
GCN: Super Smash Bros. Melee
DS: Nintendogs
Wii: Super Mario Galaxy
3DS: Animal Crossing: New Leaf
Wii U: Super Smash Bros. for Wii U
Switch: Super Mario Odyssey
PS1: Final Fantasy VII
PS2: Star Wars Battlefront II
PSP: Persona 3 Portable
PS3: Uncharted 2 Among Thieves
Vita: Persona 4 Golden
PS4: Marvel's Spider-Man
PS5: Astro's Playroom
Lifetime Sales Predictions
Switch: 161 million (was 73 million, then 96 million, then 113 million, then 125 million, then 144 million, then 151 million, then 156 million)
PS5: 115 million (was 105 million) Xbox Series S/X: 48 million (was 60 million, then 67 million, then 57 million)
PS4: 120 mil (was 100 then 130 million, then 122 million) Xbox One: 51 mil (was 50 then 55 mil)
3DS: 75.5 mil (was 73, then 77 million)
"Let go your earthly tether, enter the void, empty and become wind." - Guru Laghima