[richthegeek]

That first one made me think of combining Pokemon with Slay The Spire - each Pokemon has a deck (themed towards poison, electric, etc), and the Player has a deck (utility, healing, battlefield modification, combos)

In battle, you can choose your Pokemon based on the opponent and your hand is a mix of Player and Pokemon cards.

You gain more Pokemon, or cards for Pokemon, by exploring the wilds.

You gain Player cards and gold by battling other trainers.

I guess for a proper modern Rougelite you should have "relics", gained by battling Gym leaders, rare Pokemon, or completing quests by NPCs.