This is one of the reasons questions get closed on the site - why? How can I find answers to these questions if not here?
Note: this is a canonical question, for linking when questions are closed. If you want to discuss anything about the policy, please look through the older questions on the topic and/or ask a new one.
Anything where you're asking for answers providing a (set of) games meeting the criteria in the question. It doesn't matter if you ask for the best ones or just any/all of them.
Mainly because they attract too many answers (they're polls).
There was extended discussion on the Board and Card Games Meta site regarding whether or not to support/tolerate/allow recommendation questions. This culminated in a comprehensive ban. You can read the final decision and discussion thereof here, and searching the meta site for "recommendation" will let you catch up on the history. See also Q&A is Hard, Let's Go Shopping.
In the comments on the meta discussion linked above, someone asked about the question "What games can I play with my blind son and my seeing son?" As is, this is a recommendation question that we'd rather not have. One of the issues about answers to recommendation questions is that voting is more of a popularity contest than a measure of quality, which would be an issue here. However, reworked as "How can I play games with both my seeing children and blind son?" it becomes a question where more ideas could be shared, often with specific examples to back them up. There's a strong possibility of more helpful, creative answers that could be voted on somewhat objectively. That said, if you're just interested in finding more deck-building games like Dominion, try some of the resources below.
The Board and Card Games Chat is a great place to ask for recommendations, or to just shoot the breeze with other board gamers. Don't be discouraged if no one's there, just leave a message and people will tag you in responses so you get notified.
BoardGameGeek has lists and reviews, lets you search games by categories such as number of players, game mechanic, and appropriate age, and forums where you can ask for all the opinions you want. Most online retailers selling games have reviews and can help you find games similar to others that you like.
Your Friendly Local Game Store: Do a search, you might be surprised at how many there are. Other customers and the staff are great people to talk to about what you like, and they can usually help you find something and even let you try it out before buying.
