I've owned and raced both of them. If it is your first bike a couple of things to think about:
1. When you crash the FZR, everything on the bike is plastic including what looks like the tank. On the CBR you have a $1000.00 metal tank up on top that looks very ugly when dented. Also everything bodywise for the FZR is a lot less expensive if you are buying new.
2. The FZR will be a great bike to learn on, and other than cosmetic changes, and the change in swingarm in '91 they are all the same, which means easily acquired used parts. Also in my opinion, the FZR was a lot easier to work on and a lot less intmidating to work on as well.
3. The CBR is a much better bike, however a lot of them were purchased for racing, and after 1993 not many of the FZR's were.
4. The CBR will outdo the FZR stock for stock in every catagory you can think of.
5. The CBR probably still has more trick aftermarket stuff available for customizing than the FZR,
6. Buy the one that you like and remember, if your just going to move up in a year or 2 than buy the one that needs little work, and that you get a good deal on!!!
BTW welcome to the crowd when you get one!