The Spin Cycle was hit-or-miss, with heavy hitters like Jackson, Caprice, and faction economy like Sweeps Week, Sundew, and Celebrity Gift. Unfortunately, a lot of the cards are under the power curve. I was frustrated when I was buying Spin Cycle cards because I felt like I was just making my decks worse by trying them out.
Both Honor & Profit and Order & Chaos were fun expansions for their factions, and they included a handful of cards to use in other decks as well.
Lunar is a good choice. Blue Sun makes Oversight AI really good. Crisium Grid counters Account Siphon well. Quetzal is strong against rush decks, which should still exist in your meta. Earthrise Hotel is the best neutral draw card.
SanSan was my favorite cycle, so I'd encourage you to check out some of those. The Valley is usually one I suggest to folks just getting into the game because it helps to flesh out Jinteki, which is severely lacking in the Core Set. If you get H&P, that would accomplish the same thing.
Data & Destiny is really good for NBN, but the runner mini-factions are hard to pull off without a large card pool. You also get the 5/3 Global Food Initiative, which will be a 2-of in virtually every corp deck you make. Sunny makes Underworld Contacts really good.
Mumbad is murky water; you should probably avoid it. I will say that Corporate Sales Team is a godsend for corp deckbuilding because it's the 4/2 that you've always wanted. Democracy and Dogma has the overpowered Political Assets, but those might be okay until you have other corp cards that allow recursion (Jackson, Museum of History, Preemptive Action, Friends in High Places). A lot of the rest of Mumbad is trash. Most card abilities are weak unless you build a very specific deck around them.
Avoid Flashpoint, as there are a lot of "deal with this or lose" cards that could turn off people to the game. Controlling the Message and Hard-Hitting News will make your friends stop playing. Aaron turns off all tagging strategies. Blood Money injects steroids into the runner side of your card pool. That said, the IDs are generally pretty interesting.