I'd say bowling or amusement park... a first date, in my opinion, is fun and not too intimate or private. Being in public is more comfortable being alone somewhere, one on one with someone you are just beginning to know. Doing something fun will ensure that you both have a good, memorable time even if you don't click.
Dates that require a lot of focus diversion activities such as bowling, paintball, movies etc. are never a great option for any first date. The first few dates should be a time of getting to know your partners really well hence, your date has to divert your attention towards each other, not the movie, not how you bowl, not how you're gonna capture the flag without getting shot.
Those dates only come in later when you guys know you'll be able to have fun together. I would then recommend something like chilling at the beach, that's where the environment and vibe locks everything into place. Deep convos, gaang eye contact, perfect for emotional connections. So are walks in the park under the nightsky and chilling there etc.
Ice skating because there will be a lot of (non sexual) physical contact such as holding hands, catching her if she falls etc. The only way I see this as a bad thing is if you immediately dislike the person and then it will be awkward.
The movie night and popcorn. We could laugh at Back To The Future, sit through The Princess Bride, or ( my favorite) cry together during The Fault In Our Stars. I would love to cry with a girl crying with me.
1. Would be fun but I'm afraid there will be sand everywhere and it has to be nice weather... 2. I hate bowling with a passion 3. This sounds more fun than it really is 4. That would be pretty awesome but then against strangers or something so you can team up 5. Boooriiiinggg 6. I can't ice-skate anymore due to my weak ankles 😢 7. That would be really fun if I didn't got nauseous in everything that spins or moves 8. No action? Boring 9. Not for the first date...