Here are a couple of rules for making "killer compliments".
1) Don't compliment a woman "too much". Always mix it
up with flirting and teasing.
2) Don't compliment the obvious. If a woman's a good
musician, chances are, she has heard it hundreds of
times already.
3) Find something specific or unique to compliment on.
For example, instead of complimenting how good a woman
is at piano, find something specific to say, such as,
"I love the technique you had during that last passage.
Every note was perfectly balanced, and you don't hear
that very often. Sometimes not even from the pro's."
4) Think about what's important to the woman, not
what's important to you.
5) Use "I" instead of "You". Instead of saying
"You're wonderful", say "I was blown away by the way
you..." This will show you're giving her your approval
instead of sucking up to her. (Big difference!)
6) Don't forget to compliment the ordinary things that
often go unnoticed.
7) If the person acts modest, nod and say "I believe
in you." Once again, you're showing her approval
instead of sucking up to her.
8) Sometimes, a non-verbal compliment is just as good
as a verbal compliment. For example, you can nod when
you see something great or act like you're really
enjoying the dinner she has cooked for you.
9) What a woman wants to hear may not be what a woman
is good at. It may be what the woman WISHES she was
good at. Never forget that.
10) To further a conversation, ask a probing question
after a compliment. For example, after complimenting
on a woman's piano skills, ask her more about what
kind of music she likes and get into a conversation
about music.
Good Luck!