How to get greater than well recognized website in the look for engine?
 

I've been building backlinks, articles in my niche and got to the 2d place in my keywords, but can't beat one site, that has been in the net for many years. However that site does not have any page rank, neither mine. Any suggestions? building more backlinks? i have over 100 good backlinks from articles and directories, the competitve site has less than 20 (and just directories. nothing specail)..

Please, any advices?