Does it have to be an actual game?
I have a large age gap between my oldest and youngest (similar to when I was growing up). We have kids in between, but sometimes the middle ones aren't home, or even so, they all still hang out at times.
We just had afternoon outdoor fun that kids would join in - like this week we had water balloon fights (buy those massive easy to fill balloon kits, super cheap) and even tiny kids can participate. We did those balloons with some younger cousins - you dip those gloves and the older kids ran around and the younger ones chased them. Frisbees, etc. I find so long as they are outside, and having fun, it's ok to have friends over for the older ones - the little ones can play nearby (sandbox, etc.) everyone has popsicles at same time, etc.
We used to just do a younger version for the younger ones. So when my older kids had Nerf out, they had a very simple Nerf version (most basic) that we did for our youngest, or a little water one (or if you don't do guns, do something else but modify it so little one can join in).
We didn't have success with the Just Dance or those Wii interactive games where preschoolers had to get 'picked up' by our controllers. For some reason, it was more frustrating. If our older ones were playing racing games though, the little ones would just play with their cars behind them, or sometimes take a turn driving on the split screen - so what if they kept crashing. They were just thrilled to be allowed to play with the bigger kids. (think mario cart or whatever).
Lego, arts and crafts, and those kinds of things they would happily play next to their younger siblings - hot wheels, etc. So long as the little ones didn't destroy what they were doing.