You have (in my opinion) a great taste in games.
There's nothing quite like a session of TI. It doesn't get on the table a lot but the few times it does it's amazing every time.
Unfortunately I personally get to play big games all to seldom as I mostly play with my SO and she prefers them a bit lighter and with a bit less conflict. Some of the games we've enjoyed and played recently 2 player..
Viticulture is the one we fall back on alot of the time. It really is a great worker placement.
Castles of Burgundy is a new one in our collection but probably not new to a lot of people in the hobby. Really don't know why I've not picked this up earlier because it is a really good game.
If we want to go for something fast we usually bring out Azul. No setup time and no teardown is a trait I value more now than I have in the past. Sure Gloomhaven is fun but the setup alone makes me want to cry.