It’s not a classic f1 car but at least this one is called F1.
As its McLaren week here at ClassicF1.com there was only 1 car that could be the “Not an F1 Car but” and that is the McLaren F1.
The McLaren F1 was built by McLaren Automotive in 1992 and was designed by Legendary F1 car designer Gordon Murray. McLaren only built 106 cars in total but some can be found for sale if you really want one but be warned its going to cost an awful lot as new they cost $970,000.
Check out the wikipedia page for some great info at http://en.wikipedia.org/wiki/McLaren_F1