Not really “pink”, and lacks romance, but very pleasant: Dave the Diver. Cozy-ish game with nifty characters. Only thing would be I don’t know if you meant “no/minimal combat” because you don’t want the mechanics or the vibes. Dave has not particularly challenging combat mechanics, and paw patrol levels of violence levels (although you are catching and eating fish).

If you like park builders, Zoo Tycoon is cozy as hell. Beware the DLC trap though. You can get the base game with a lot of meat pretty cheap, but the DLCs are like $10+ each and not really a good value IMO. But the game has a great vibe with some really neat mechanics that try and imitate real conservation efforts.

What would check the boxes through a “Hot Topic” lens is Promise Mascot Agency. Surprisingly wholesome, completely off the wall, combat is all card/deck builder based… I… it’s a hard one to describe.

Doughnut county checks all the boxes but is rather short. Katamari if you haven’t done it.

I hear good things about, but have not played: Naiad, Tempopo.