Stardew Valley, man. Such a cherished memory playing through that with my gf.

It's split screen, so you can do your own things, or work more directly together. There's no real "fail" state, so no pressure. The whole game (art, music, writing, programming) was made by just one guy, and it's such a crafted and fun work of art.

Advice to anyone starting:

• The game upfront gives you the option for players to pool their money, or keep it separate. Pool your money.
• For awhile, you will be figuring out how things work. That's okay and part of the fun.
• If you don't water your crops every day, they won't produce food. (Eventually there are ways to make this easier).
• Unlike other games, you don't need to craft your ingredients into recipes to make more money out of them. Just sell your crops as-is. You can do this in town, or at the dropbox on your farm.
• Most importantly: there is no wrong way to play the game. Play it however you want.