I'm a newbie to Rogue Touch, and here's the features I'd like:
A "Throw" slot as described previously, or the ability to specify a secondary weapon and a command to swap primary/secondary.
Add more basic stats to complement strength: Add dexterity (AC) and intelligence (find traps, increased % to identify items?) Give players a chance to customize their stats at level-up.
Zap self with wands & staves? with some modifications to behavior. (E.g. polymorph might make the character an NPC or kill outright, invisibility could also blind, etc.)
A shop would be nice, as numerous others have mentioned. Guilds would be awesome, but obviously would require more work.
I presume the stairs up only appear if I find the Amulet, but it'd be cool to go back and revisit previous levels / make the dungeon feel more contiguous rather than independent dimensions floating nowhere.
AMATEUR MODE:
An "amateur" mode that disqualifies a character from being leaderboard-eligible, but gives casual players nanny bonuses:
"Weighted" drops: The more unidentified items I have, an increased chance of Identify scrolls to drop. The more strength I've had sapped, the increased chance for Gain Strength to drop. The hungrier I am, the more likely food will drop. The more cursed items I'm saddled with, the more likelihood an uncurse item will drop. Ad infinitum.
If my character dies, I can be restored back to the previous dungeon level or character level.