I'm probably the wrong person to be answering this question becuase I'm really bad at friendship and will use the word friend very selectively -if I call someone a friend -it's the highest honor I could possibly bestow upon them - I have lots of buddies and pals but not really any friends...
To ask someone tobe your friend seems a little needy to me - friendships, to me, are developed over time, over shared events, things in common, shared experiences... they jsut don't happen.
Buddies - can happen any time - and you can find buddies in various activities.. but friendship - like any relationship requires work... and effort on both parts
What are some things you like to do? Sports, hobbies, other activities? Spend some time doing them and you'll be around people with similar interests and make it easier to strike up conversations.
make yourself available - when you're around other people, dont bury your nose in a book, or keep your headphones on, look up, look around, smile at people... (People tell me I have this look on my face that says leave me the hell alone... I'm not quite sure how I do that but it's probably how i'm feeling at the time - feel accessible to people and approachable...
When talking to people be genuine...
there's a dale carnegie book, how to win friends and influence people - it's more directed at salespeople and i fiind it ia bit phoney at times but try some of the techniques
How to Win Friends and Influence People - Wikipedia, the free encyclopedia
Fundamental Techniques in Handling People
"Don't criticize, condemn or complain."
"Give people a feeling of importance; praise the good parts of them."
"Get the other person to do what you want them to by arousing their desires."
Six Ways to Make People Like You
"Become genuinely interested in other people."
"Smile."
"Remember that a man's name is to him the sweetest and most important sound in any language."
"Be a good listener. Encourage others to talk about themselves."
"Talk in the terms of the other man's interest."
"Make the other person feel important and do it sincerely."
How to Win Friends & Influence People - Basic Summary
also has more tips...