It's not what you do, it's how you do it. Instead of asking her to do something with you, invite her to tag along instead. It's all in the way you hold yourself and how you present things to her.

Take these two invitations:

"Want to go to Starbucks with me?"

"I'm going to get some coffee from Starbucks. Care to join me?"

Notice how the second sentence clearly states that you're going, and implies you'll do so with or without her. You can use that formula a million times per day and you won't ever seem needy because regardless of her answer, you're going to still be doing your own thing. The first sentence makes you look needy after the first time you use it since it seems like you're constantly trying to think of places to go with her and kind of makes you look like you're begging after awhile.

That's a very minor example but I'm sure you can understand my point.

Just from what I know, neediness is defined more of a whining type attitude and doesn't display asich confidence as persistence. Persistence takes confidence and a superior mind. Neediness is a display of a lacking of confidence. Really the difference is more in the attitude and how you ask or act.
That's just my opinion though,
Jimsonator

Girls are also full of shit

Confidence is a self knowing in one's ability - its an assuredness not dependent on the validation of those around you. A man who acts with confidence believes in himself and his ability to attract those around him. He does not toil over one woman, but instead keeps a calm, cool, and relaxed framed state in knowing that if one opportunity fails, he's got 1, 2,3,4... other options at his disposable that he can seek at the drop of a hat.

Neediness is the antithesis of being confident. It's the ruminating over one person, having no context acting as though they're the end-all-be-all. Neediness comes from the implicit messages that smack of "I need you..", the inference being you've got no other options and will settle for whatever scraps are thrown your direction.