My grandchildren aged 3 to 8 yrs all love Connect 4 (though the 3 year old needs a little help). Another favourite is an 'Orchard' game 'Crazy Chefs' where they collect ingredient cards to make a meal, a version of lotto which helps to develop memory. This Christmas a Disney game called 3D Memo portrait was a winner. It too is a version of Lotto where you have to remember where the cards are but they build into Disney Princess portraits. To be fair I have 4 grand daughters but my very boyish 8 year old grandson still joins in!
In the car we play 'I spy', Songs beginning with ... (choose a letter) and amazingly 'Word Association' which my very articulate grandchildren are surprisingly good at. We try to work back to the original word after a few rounds and that person is the winner. The 3 year old makes irrelevant suggestions but we praise her and move on from the previous word!