Canasta: Skylines by Randoman38
I've decided to interpret 'incompatible' as 'unconventional, for this, and the two genres I've chosen are Card Game (Really more card-based game) and city builder.
Just a note, the game Canasta doesn't have much to do with this game, I just wanted to make a fun name.
Background: You are appointed to start up a city. Your goal is to claim land and build infrastructure until it supports 50 people. You have to try to balance the needs and happiness of the citizens with the randomness of what cards you get every month.

| Source code | https://github.com/Randoman38/Canasta-Skylines |
| Windows | https://randoman38.itch.io/canasta-skylines |
| Original URL | https://ldjam.com/events/ludum-dare/41/canasta-skylines |
Ratings
| Given | 0🗳️ | 0🗨️ |
Thanks for your participation :smile:
Wut ? I have more poeple than my capacity ? xD

Overall, interesting puzzle game with great potential once it's "completed", if that's your goal.
Remember that if you want others to see your game, to rate other peoples' games. The more ratings and feedback you give others, the higher your game displays to others when they look for games.