Candyland and chutes and ladders would be a good option.
Love all these. They bring back memories.
We played this with the girls when they were 4-6. Secret Door. It is a memory/matching game, that is sort of Scooby Doo in nature, in that you're collecting clues to solve a puzzle.
We started our girls on Enchanted Forest @ around 4-5 years old. It is a memory game.
They seemed to enjoy it, asking to play repeatedly.
My daughter LOVES hi ho cherry-o! We play games every Friday as part of our family game night. Start off with the toddler ones for my 2 year old so when shes in bed, we can play the ones that are above her level
Here are some game options that would be good for that age :)
My younger kids love trouble and matching games.
Candyland, ants in the pants, chutes and ladders
I went to the second-hand store and got candy land for mine when they wanted to play and they have all kind of games
This was my kids favorite.
My nephews absolutely love this game. In fact, last year at camp it was a constant request and they never tired of it over the week-long stay. It's a great game for little ones to grow with and it was enjoyable to play with them (always a plus!).
Hungry, hungry hippo, candy land, the go fish game with the poles and fish, memory!
Pretty much any games made by Leap Frog, kids like them and they can learn too! The Letter Factory was my daughter's favorite when she was little.
candyland, memory, hungry hungry hippos anything that is age appropriate really.
All of my 4yr olds favorite games are already listed here! We started with hi ho cherry oh when she was 3 and quickly moved to candy land and matching games. She has been addicted to board games ever since!!
An old-school classic!
I love connect four and candy land