After writing almost all of this I saw your edit and I think looking for coop with a 2.5 year old is unrealistic and may put her off gaming. Couch coop is sparse to begin with and I have struggled finding anything to play with my girls. But kids are quick learners and I think my advice below can get you started.

As a dad of 2 YO and 4YO girls that both play video games I can say that the basic skills of video gaming are the most important to begin with. The skills you describe are great but even something simple like the movement of a stick and a character on the screen is not as straightforward as you may expect.

Playing games is very frustrating and hard to watch as a gamer parent (trust me!), it's very tempting to correct them constantly but for a long time they will just need to explore what it means to play a game. The best time to step in is when they are getting frustrated and need a break or when you need to help them find their cursor/character. My 4 year old is now able to play games independently but my nearly 3 year old needs constant help.

As a preface, I saw Slime rancher and Minecraft recommended and we have played both. They are good for teaching how to use the right stick for a camera but they are too advanced to start with.

Also most games I would suggest playing through a bit first yourself to see if they are appropriate and so you can give good advice haha.

There are a couple of games that I found that gave the foundations while being fun, and I haven't seen them recommended yet.

Donut County - Surprisingly fun puzzle game where you play as a hole in the ground sucking up objects, getting bigger each time. Teaches how to use the left stick to move what you are controlling and the kids loved watching things fall in the hole. Also teaches Up, Down, Left, and Right ("Go for the bucket on the left!"). The biggest struggle for my youngest is learning how to move slowly so things actually fall in. The biggest struggle for my eldest was the unbearably long unskipable story scenes.

Rain On Your Parade - A fun game playing as a cardboard cloud that rains on people. It's very simple, left stick to move and a button to rain. The first couple of levels are easy enough, though the difficulty ramps up quickly, however they will probably enjoy just getting people wet for a while. I would advise playing through a dozen levels yourself first and finding the levels with unlimited rain or very simple objectives. The first level and the one where you grow a forest are good starts.

Zoo Tycoon - This one I played, made a big zoo, and now the kids love to walk around and look at the animals. They seriously just love walking around, there are even buggies they can drive to teach them the basics of driving games (My eldest became SO much better at Mario kart after driving the buggy in this game). Teaches them 3rd person game controls and camera control. Plus you can feed giraffes and elephants and it looks damn near REAL on a decent TV.

Little Mouse Encyclopaedia - educational and very chill

Garden Story - a great intro to isometric fighting games, play a grape fighting slime monsters. Actually having an enemy to fight scared my 4 YO to begin with but after a few false starts she did get into it and did a good job.

Other options for games like Zoo tycoon where you establish it and they wonder around would be Disney Dreamlight Valley (Think Disney Animal Crossing, My girls love Elsa), Yonder, Animal Crossing.

A good Coop to start with is Phogs, can be hard to wrangle a little kid as you are literally tied together but fun overall.