Any good RPGs that cover genres like utopian/dystopian, alternate history, and apocalyptic (not post)?
These headings are really, really broad.
I'm not sure what you're using utopian/dystopian - could you give a source-literature example, perhaps? I thought of
Blue Rose, but I'm not sure that's what you mean.
As far as alternate history, depending on how you're defining it, again, that could be a lot of things, but what comes to mind off the top of my head are games like
Testament (lands of the Bible),
Fvlminata (Ancient Rome with gunpowder),
Maelstrom (Elizabethan England with a touch of very subtle magic), and if we cast a slightly wider net to include fantasy.alt.history we could include games like
Northern Crown (Colonial Americas with a bit of magic),
In Her Majesty's Arcane Service (Elizabethan magical investigators), and even
Deadlands (Weird West) - pretty much the whole of the steampunk genre could fall in the latter definition.
And apocalyptic? In my experience, that's where many games end up regardless of how they begin, but I can't think of any examples off the top of my head. Again, apocalyptic is really broad - biblical reckoning, nuclear holocaust, biological disaster, alien invasion?