Roguelikes or rogue-lites - whatever you call this diverse class of games, they all derive a handful of core components from the classic game Rogue.

Core among these is permadeath, or the process of making your character's death final, thus demanding that you start again from scratch each time you snuff it.

Another important element is randomly generated levels that never play out exactly the same way twice. These things tend to have legs.

Roll these elements together and add them to whatever genre you like, and you have the loosely affiliated roguelike genre. Or roguelite. Whatever.

There are a whole bunch of roguelikes on the App Store, and a lot of them are rather good. Check these out for starters.