Small World is excellent although IMO an example of where the app is actually better than the board game as it makes playing it literally 10x quicker
I played the Carcassone board game on my phone and it made up my mind not to buy it!
I have recently played Powergrid a couple of times and love it, might buy it soon if no-one buys it for me!
I was given Cornwall (the board game, not the county) for Christmas, and Machi Koro which is brilliant.
Got a Days Of Wonder board game off a flea market recently for £4 called Pirates Cove, not played it yet.