Relationships and love are two very different beasts.  Both require intense amounts of attention and real work to have them running well.  Without that kind of attention, a couple could become abusive, even if it isn't unintentional, by means of ignorance.  This is why there are romantic questions for couples, so that they know which part of the engine to tweak.  Even if you are currently single, some of these questions could still be useful in helping you figure out what kind of person you're looking for and if they don't they are probably questions you can bring up to know a potential partner better.

"What was your childhood like?"

This is a question that can bring the doors down or shut them tighter than ever, depending on whom you're asking.  That obviously depends on how their childhood was.  This question is one that can give you amazing insight into your current partner and their issues and maybe even their dreams.

"Are public displays of affection your thing?"

PDAs were physical activities long before they were a yuppie trademark. Kissing and cuddling in public isn't for everyone.  For whatever reason, may it be shyness or even shame, public displays of affection may not be your partner's cup of tea.  Romance doesn't bloom from being awkward, so knowing this question can create a relaxed atmosphere and at best, even stress the possible sexual tension between the two of you.

"Your perfect date, what is it?"

This is a good one to spring even if you've been together for a while or if you're a first date.  You might not be able to give them that trip to Paris, but making the attempt by setting up a date in a French restaurant oozing with a Paris theme could tell them that you listen to their answers and that you care.  That goes a long way towards romance.

"If you had the money, where would you go?"

There are very few occasions wherein this isn't pertinent and those occasions are reserved for times when you're dating someone very, very rich.  Whatever answer they give, you can always follow up with the ever important "Why?". Like asking about their childhood, this question prompts them to indirectly reveal information about them, information that you could use later on to set up the mood or to appeal to their needs.