1. Someone face-faults?
Meh... Don't really pay attention.
2. Two characters fall in love and/or have a kissing scene?
I don't watch a ton of anime so many, if not, all of my responses should be about Evangelion. Though, since this is one of the best kissing scenes ever... the scene when Asuka kisses Shinji just because she's bored and plugs pinches his nose preventing him from breathing... His skin changes colors due to lack of oxygen.
3. Characters appear in swim clothes?
Not much in that way... I don't see many scenes that I like. So it comes down to how shallow I feel. I think seeing Faye Valentine in her swimsuit was awesome. She's hot.
4. A character or characters start singing?
...I'll pass.
5. Someone gets extremely PO'd?
As an Asuka fanboy, it's hard to find just one scene. Probably the scene in End of Evangelion where Shinji and Asuka are both nude and he says something and she just gives him this amazingly freaky pissed off look.
6. Someone cross-dresses?
Shinji wearing Asuka plugsuit takes the cake.
7. Characters compete in an athletic event?
My memory sucks, I can't think of too many athletic events I've seen.
And as for an all time favorite scene? Funny scene would be the alternate universe in Final Genesis (eps. 25 and 26 in Evangelion.)
*They're at a school, Misato is the teacher*
Misato: Listen up, dudes! We've got a new blue haired babe here to
introduce herself.
Rei: My names Rei Ayanami. How's it hanging!
Shinji: Ahhw!
Rei: Ahh! You're the jerk who was staring at my panties!
Asuka: Hey! What'er you mean by that?! You're the one who was
flashing them, you know!
Rei: Who are you? And why are you defending him? Are you riding his
bologna pony?!
Asuka: We're just really good childhood friends, you shut up!
Hikari: Be quiet you two! We're in a class, not a bar!
Misato: Hey, this is more entertaining than class. Go on I wanta see
how this turns out.
Yeah, it makes me giggle to this day, 5 years after I first saw it.
...So I'm obsessed and my memory isn't working right now... Sorry.