ampthill > check out Pandemic if you liked that, similar co-op play but you’re scrambling to eradicate diseases. Forbidden Desert and Forbidden Island are from the same guy, similar mechanic but simpler – good for quicker games or with younger kids.
Northwind > Carcassonne works great for 6 players, plus if you’re playing with kids (or just pissed adults) the rules can be made far simpler (no farmers, for one) and it plays nice and quick. Lots of expansions if you get bored. 7 Wonders is great for 4-7 people too, the card swapping is between neighbours so it doesn’t bog down as many games can with more people.
I taught my parents Ticket to Ride and we had a couple of decent games of that. My dad had picked up “Where is Moldova?” which we played once – it’s terrible.