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This really depends upon the manufacturer and model of your scooter, but a 150 cc scooter will generally top out at about 60-65 mph. The cheaper Chinese models will only do about 50-55 mph, while good Hondas will go up to 65 mph. I had an 86 Honda Elite 150 scooter, and it would do about 63 mph with me on it.
IIRC the Yamaha FZ400 had a redline of 14,000 rpm and was quite fast. ISTR that the two-stroke RD400 (?) also had a high redline and was fast for its time. I believe the FZ400 is about 10 mph faster than my 600 cc Seca II. My YZF-R1 has a 1 litre engine that makes 142 hp. Two years later they got 180 hp out of the same displacement. 50cc and 125cc are beginner learner bikes that can only do 30mph and about 60mph respectively. 250cc up to 400cc are lightweight bikes you have to rev hard or change gear regularly to maintain momentum but can easily do 70mph.