I don't see any point in the venue being 'fun' or 'unique'. Of course where you take someone says something about you, but the point is that you both have a nice time and get to know each other. There is a reason going for a meal is the popular notion. You can talk, have a drink (making you both relaxed), the mood is better at night, everybody loves food, you have the opportunity to talk, but you still have something that distracts you from having to make non stop conversation. And most importantly - it is clearly a date.
The last two successful first dates I went on (meaning lead to further dating) were quite similar. The guy texted me and asked me to dinner at a specific restaurant, a specific night at a specific time (crucial - I like a guy who takes charge and makes decisions. So do most women).
People are different, and surely some like to do something more 'casual'. I don't - if it's a date, make it a date. I think this is especially important for guys who complain about being 'friendzoned'. If you don't want to be just friends, don't be. When you are asking a girl on a date, she'll know it's a date and she is forced to decide based on whether she actually likes you and you are less likely to waste time and money on someone who "just want to be friends" (although it is always possible that it won't go anywhere).