I remember my 14! lol well you could do like a pool party. for one of my birthday partys i rented like a hall and my rents paid for a DJ and we danced all night lol or isntead of spending a lot of money you could do like a garage party and get like a disco ball and some cool lights and play music and shizz idk hope i helped! haha

If you want to go sophisticated, do maybe Masks Required. It also depends on your birthday, like when is it? YOu could also do a pool party(but you might need a large pool first!) a dance party with lots of music, even a local band in your backyard, or a theme, like Alice in wonderland, or Pajama Party, without the sleepover, so everyone is comfy and just hang out!

baby girls idea is really good.

Here are some pages with more ideas:
http://janienne-jennrich.suite101.com/best-birthday-party-ideas-for-teenagers-by-teens-a305210
http://www.birthdaypartyideas.com/html/party_ideas.html
http://www.birthdayinabox.com/party-ideas/guides.asp?bgs=43

So I hope these help you out dear. Also don't forget, make sure on the amount of money your rents want to pay for it before you decide on something and get your hopes up.