I have a class 1 bike (BMW Cruise) and I get passed now and then by cyclists in multi-colored jerseys who are riding carbon fiber-framed bikes with drop handlebars. I don't exactly race them, but I wait a few seconds then see if I can re-close the gap. Most of them are going about 22 to 23 mph and my power assist tops out at 20, so I'm basically going on human power on the downhills and flats while getting help on the uphills below 20. For some odd reason, I never pass them, even on those rare occasions when I can. I don't and can't do it for very long, just enough to feel like I'm going all out for a bit. It's sort of like being a dog chasing cars.
I find that it breaks up the ride, makes me feel a bit younger, etc. I don't think I'd ever do it on a Class 3 bike which would have me keeping pace with most anyone I'd see out on the road. For me, it's more about using the foundation of the pedal assist to get to 20 then having to sustain the higher speed for a bit and feeling like I'm riding a regular bike for a bit, even though I never go that fast on my regular bike or haven't for many years.
I've noticed that I have a few of these little e-bike games.
1. hypermiling
2. finding the lowest power assist setting that I can use on a steep hill
3. keeping the battery monitor at two bars or below (sort of a close cousin of the hypermiling)
4. seeing how long I can go without using power assist
5. staying at exactly 15 mph
6. guessing when to go from eco to tour mode on my way home without going below 2 battery bars.
are there other e-bike games out there?