I think the following could be restructured, to make it easier to conclude that game recommendations are off topic. I'm not entirely sure how, though.
If your question is not specifically on-topic for Board and Card Games Stack Exchange, it may be on topic for another Stack Exchange site. We're not the right place to ask questions about:
- Computer games, try gaming.stackexchange.com
- Role Playing games, try rpg.stackexchange.com
- Puzzles, try puzzling.stackexchange.com
- Game Recommendation/Shopping questions, this includes all questions that could be phrased like:
- Best game for ... ?
- Which game is like ... ?
All of this is steering towards a list of alternative sites (that speak for themselves), except for the last bullet. Shopping questions are not on topic for any SE site, so it's not possible to list an alternative site here. Instead I think this should receive extra emphasis, for starters by giving it a separate paragraph.