While you're at it ... here's a list of my all-time favorites for iPad:
Stardew Valley - farming sim
Evoland & Evoland II - nice adventures
Thumper - rhythm game
every game with FINAL FANTASY in it - retro RPGs (FF XV Pocket Edition aside, that's new)
Scribblenauts Remix - word puzzle game, quite charming
Old Man's Journey - soothing light puzzle game
Plants vs Zombies 1 & 2 - one of the first tower defense games, 1 is great and 2 is huge
Fallout Shelter - management with time factor
Alto's Adventure & Alto's Odyssey - endless runners worth their money
Dragon Quest VIII - huge RPG/adventure, a bit retro
Hearthstone - card game
Monument Valley 1 & 2 - puzzle games with perspective
Threes - brain game with the number 3
Oceanhorn - a Zelda-like adventure
Republique - stealthy game for iPad
Dungeon Keeper - management with time factor
KAMI 1 & 2 - sort of a color puzzler
World of Goo - physics game
Chrono Trigger - retro adventure/RPG
Infinity Blade 1/2/3 - all three are great action games
Year Walk - nice adventure, a bit spooky
Star Wars Knights of The Old Republic - Star Wars RPG with a kinda D&D ruleset
Bastion - cool narrated adventure
Drop7 - nice numbers game, puzzler
Jetpack Joyride - another endless runner, having a blast with it
Canabalt - one of the first endless runner, timeless
Superbrothers: Sword & Sworcery - a mythical journey
Puzzle Quest 2 - a match three game with story
Tiny Wings - endless runner, quite charming
Fruit Ninja Classic - slash all the fruits!
FTL: Faster Than Light - a nice space survival sim
Sorry that it's so many games, but they're all worth a look. Promise