Catan has an expansion that supports more players. It makes the game longer, but I personally enjoy the change of pace.

Otherwise, there’s plenty of good suggestions on this thread already. Those that are of similar(ish) complexity and that I also enjoy:

• Bang! (Has player elimination, so make sure your friends are okay with sitting out for part of the game)
• 7 Wonders (Turns are taken in parallel, so much less down time. Great if you have slow players.)
• Sheriff of Nottingham
• Codenames (It’s marked as 2-8 players, but realistically, you can play with as many as you want.)
• Concept

With larger parties, you’ll often be waiting for that last person to arrive. Some simpler games if you want to fill that time:

• Coup/Complot
• Sushi go (Good warm-up to 7-Wonders if your group is new to the game)