When my children were in the preschool and kindergarten stage, some of their favorite activities were these workbooks from Kumon. (I'm not affiliated with Kumon.) We've tried different workbooks, but we like these the best because the paper is thick, not thin and flimsy. The activities were simple enough where it doesn't frustrate the child nor the parent. It's also hard enough that they don't get bored with it. It provided hours of entertainment while learning at the same time. The learning aspects of these workbooks are scissor skills, recognizing shapes and colors, and how to hold a writing instrument.
Kumon has many other workbooks. The ones pictured are our top three that my children can't get enough of. Every child is different, so if the child doesn't show any interests in these workbooks, that's okay too. Just wanted to provide some ideas of what worked for us. I remembered reading (and still do) lots of mom blogs trying to get ideas of activities to do with the kids.
Enjoy this stage of life with your kids. It goes by so fast.