All you need in the simplest form is a netflix account and a video cable from your mini to your tv. If you want to do more, check out Plex. I made a video at my website, www.benwolfelectric.com that show what I do with plex, in combination with my Mac mini and my 50" plasma.
Depending on what type of Mac you have, determines what kind of cables you need. I had this same problem last year because I wanted to hook my Macbook up to the TV to finally get rid of cable television. I found a cable that will hook up to the mini display and USB ports on the Macbook and output through HDMI. If you do a search you'll be able to find it easily. I know you posted this awhile ago, but hopefully you have found a solution by now. And if you just spend $100 you can get Netflix on the new Apple TV.
Nowadays it might just be easier to get an Apple TV. Especially since it has HDMI built-in. And then you don't have to lose another device while watching Netflix. And then you also have the ability to airplay from iTunes or iOS devices.
I use HDMI. If you've got any decent Mac, chances are it has HDMI. HDMI cables are VERY expensive in stores. I suggest purchasing from Amazon.com. I paid $4 + $5 shipping for a 7-foot gold-tip cable. Best Buy has 3-foot cables for $19.99. Amazon has larger than 7-foot as well.