In particular, I like the part where you build your deck from a set of themed sub-decks before the start, and then it's up to you to find the synergies between those themes. Not sure if there's an existing term for that mechanic. I think it may count as a form of a deckbuilder, but editing the deck's contents isn't part of the main game loop. Maybe a deck drafter?
I also like that it's a compact card game that doesn't take long to learn or play, and plays well with only 2 players. The only other drafting games I've found have a board, lots of pieces, and are aimed at 4+ players.
Trying to search for games like Compile is a bit difficult, because in the other threads I find, people like to focus on the lane battling aspect, which I could take or leave. I'm mostly interested in compact drafting games for 2p. Anyone know any?
Have you heard of Smash Up? It's a little older but the exact same deck construction concept as Compile. Just with area control type battling.
Apparently, Nexus is newer, uses similar deck construction, and more highly rated on BGG but I haven't played it so I don't have a personal recommendation on it.
I saw Smash Up, haven't tried it, but it looks promising.
From a cursory glance, Nexus looks perfect! I'll definitely check that out.