So there’s a difference between Deckbuilding games (Dominion, Star Realms, Ascension) and games that use preconstructed decks that are sometimes mistakenly referred to as “deck building” games (Magic: The Gathering, Netrunner, Hearthstone). The genre of Deckbuilding games in the board game space is exactly what you see out of Slay the Spire. Everyone starts with a crummy 10-ish card deck at the beginning of the game, then uses those cards to acquire new, more powerful cards from a limited pool in the center of the table. When your deck runs out of cards, instead of suffering a penalty like you would in a game like Magic: The Gathering or Hearthstone, you shuffle up all the cool cards you bought into your discard pile, flip it over, and keep playing.
As someone that doesn’t have the time or money to get into a preconstructed card game, but appreciates the satisfaction of building a deck and seeing combos hit in a fun way, deckbuilders really help scratch that itch for me. Star Realms and Hero Realms are inexpensive but very well designed deckbuilders that are a great entry point for anyone interested.
ETA: Star Realms and Ascension have very good, free to try mobile apps.