Mine so far is wingspan, my dads been bugging me to download Root.
Star Realms is pretty good for a quick few rounds during downtime.
Or the fantasy themed version Hero Realms! I slightly prefer this one, but both are great and you can try them for free.
On recommendation from /r/soloboardgaming, I like both One Deck Dungeon and Through The Ages.
Ascension is my most played by far. It’s one of the earliest deckbuilders and the first one (I think) with the river-style market which has been used in many other deckbuilders since. The developers have done a great job exploring various mechanisms in the expansions over the years and most of the content is available in the digital version too. My favorite sets are the ones that use Insight (the amber gems): Dreamscape, Delirium, Deliverance.
Besides the game mechanics the great art, music and the smooth app make it very chill and enjoyable for me.
I agree with your dad. Root is pretty good on mobile.
Though choice! I choose Sagrada just because of how much I like the real game and how well made is the digital version, but Ascension, Mystic Vale, and Through the Ages are close.