Setting: At a Party......a few friends and A LOT of new faces.... I know almost no one.... but I want to try a few routines I have been working on.
I grabbed one of those fold up tables that are small "TRAY Sized" and only come up just below my waist.....
I carry it over to a group sitting down and unfold it right beside someone... they all wonder what I am doing
I just start out saying " These are neat tables ... aren't they. Magicians really like these little folding tables. You know, it is just the perfect hieght to perform at.".......I get an odd look as I stop talking. "SO..... are you a magician?" one person ask. "Why thank you soooo much for asking, I get a strong sense you are a very perceptive and intuitive person. Would you like to put that intuition to a little test, I promise this will be a lot of fun."

Anyway the hardest part about approaching.....is just approaching....
If the little group or person looks approachable... they probally are
And parties like this are great for that

Funny you should mention a party. My wife throws a party every year around New Year's. I did magic for the guests at this year's party. It went over well. These were all people I know, however. The problem seems to be when I have to approach strangers.

Are you around often in the situation that you find yourself around strangers that "ready or available" for a show?
Can you describe the setting a little bit.
I can brainstorm some lines. I like writing things and find this fun....

And what is your style like...
funny, serious
what are you doing? Cards? spong balls?
What is your patter.... like how do you normaly start? like if you are given an opening with people you know... what do you lead off with.... what is your line?

I firmly believe that GOOD magic is well written..... like the context of what you present is NOT REALLY about the TRICK but how you present this.

I know what you mean

You have to realize that those are just limiting believes and that you think they are not approachable for whatever reason.

You have to realize that you have so called "Approach Anxiety" and if you cant do it, because you still have to much fear, give your friend 100 bucks and let him push you.

The goal is not to have them say " Yes show me a trick". Your goal is just to approach them. Whatever the reaction is. Do this a few times and don't be a creepy Salesman from your vibe. people can feel it, if you want to get the reaction or if you want something. so go in there...be fun and be social. then say sth like that. "i have to show you something interessting. Do you have time? just a minute....."

etc. say whats your style otherwise you look like this amateur magician whos coping everyone

Handing them back something other than the camera they handed you would be a funny icebreaker! Like a dollarstore gag camera, you search for theirs, thou get sidetracked, pull out something curious...

Who remembers Saggy Baggy Barry?

Hint: he's now on snl...