I'm still not 100% happy with my theme, so I decided to make a concept sketch instead of coding in case I come up with something better in my sleep.
The denizens of Tartarus are destined to escape and wreck havoc on the mortal realm someday. As Tartarus's guard, the dragon Campe, it's your job to keep them imprisoned for as long as possible! Each punishment needs your attention to keep going, so you have to pay attention to all of them at once to ensure no one breaks free. How long can you protect the mortal realm from these criminals?

Otus and Ephialtes - giant brothers who tried to overthrow Zeus and were bound by snakes
Ocnus - imprisoned for an unspecified crime and forced to weave a rope while a donkey quickly ate the other end of it
Tantalus - for killing, cooking, and serving his son as a meal to the gods, all food and water recedes from his touch
Sisyphus - probably the most famous resident of Tartarus, he shared some of Zeus's secrets and has to push a boulder up a steep hill with impossible terrain
Tityos - on Hera's urging he tried to assault the goddess Leto (he's one of many of Zeus's illegitimate children, most of whom Hera tried to destroy), so he was sentenced to have two vultures eat his liver
Ixion - for trying to seduce Hera, he was tied to a flaming wheel
The Danaids - 49 of Daneus's 50 daughters who killed their 49 husbands (who were all also their cousins) and now spend eternity trying to fill up a leaking vase
Salmoneus - an ancient king who demanded his subjects worship him as better than Zeus; his punishment isn't super clear but one source suggests he was positioned under a teetering boulder always about to fall on his head