I just finished my first proper mobile game and...

[WorldBreakerHulk]

If you don't mind ports or remakes then I can recommend quite alot of games.
Paid
The world ends with you - ios8 is still not supported
Phoenix wright trilogy
Phoenix wright dual destiny - looks soo much better than the 3ds version.
Knight of the old republic - it is basically the xbox version. No downgrade in graphics or fps.
Dragon quest 5 - just got released yesterday. So far, the user reviews are quite positive but it looks like there's no landscape mode... Again.
Oddworld strangers wrath - its on sale $3.99. But imo controller is a must in this game.
Monster hunter freedom unite hd - surprising, the controls are fine. You can lock the camera to your object monsters.
The banner saga - awesome game!! Imo a must buy
Minecraft PE
Combo crew - great beat em up. chun li, viewtiful joe, ryu, ken and blanka are sold seperately though.
Kingdom rush origins - my favorite td.
Dragon quest 8 - they inexplicably lock the fps to 20, no voice acting, no landscape mode. Its still decent but i suggest you watch some youtube gameplay first and see if you can stomach the frame rate.
Telltale games are also available but i haven't tried the ios versions. 'M thinking of buying the tales of the border lands after they release all the episodes.

Free
Spiderman unlimited - endless runner. Great artstyle. IAP isnt that bad.
Injustice - great graphics. Constant grinding is needed to unlock character.
Asphalt 8