I have played Twilight Struggle, after which I can’t imagine playing the physical game, as it seems so streamlined digitally that I cannot fathom how one would have the patience to handle chits or whatever for influence in each country, and how easy it would be to make a mistake in gameplay. Mostly because of how often I make a mistake in choosing my action, thinking it will go one way but the game correcting me and showing me how wrong I was.
Tigris and Euphrates is really good, and the AI can be pretty challenging. Another game where I keep forgetting how things work (I need red tiles when challenging an opponent directly, while I need tiles of the same color when joining cities together). Great for a good 15 minute or so filler, when I’m sure the real game would take an hour or so.
Onitama is good. Very chess-like, simple rules, easy to understand but can be tricky to win. Probably the game that is most like playing the physical version as there is not a lot of bookkeeping or card shuffling or anything like that once the game starts.
The Dresden Files Cooperative Card Game is the only game on this list where I have actually played the physical copy. There’s pros and cons to the app version. It’s certainly a lot faster to play, as all the card interactions just automatically happen and you are prompted to use your talent whenever you discard for Fate, meaning you can’t forget about it. The cons is that to fully read a card, you usually need to click on it to get an enlarged image of it. You get the gist of it from the small image, which is fine for about 80% of the cards, but for special interactions or rules, you need to zoom in. It’s nice when you want a good puzzle of a game, but don’t have anyone else interested in playing something like that, so why bother breaking out the physical copy.
Also, my wife plays TTR and Splendor on her tablet, both are pretty good implementations from the bits of them I have played, though Splendor can be a bit confusing in regards to reserving cards, if I remember correctly.