I always love a round of dominion. Something that I am missing from other deckbuilders is this focus on a particular strategy (like when Remodel is there or Vassal+Sentry and so many more combos). Most other deckbuilders I play have a lot more random shop and thus do not allow to plan ahead that much.
My my, how ominous 😶
Actual answer, first game would be Dominion (assuming I can bring my xpacs): tons of variety, is just fun, and in extremis it's a lot of kindling if it comes to it 🔥
For my second answer, I'm going to say Mage Knight. It's long and in-depth, has several game modes including both co-op and competitive, and if my islandmates are too concerned with stuff like "finding food" the solo is fantastic. This is a true island game, as I never play it usually, but with nothing to do and infinite time it seems perfect
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