You can go to
http://www.megaupload.com/
http://rapidshare.de/
http://www.yousendit.com/
to name a few
just click browse, select the file you want to upload and upload. Megaupload and Rapidshare will hold downloads forever or until they go 30 days without a download. Yousendit is for a limited number of downloads or a week (not to mention people can block the file for whatever reason).
What type of upload limit do you mean? A cap on the amount you're able to upload or just an upload speed cap?