Suzuki DRZ400SM the class of the bike is referred to as either a Supermoto or Motard (European/MPI lol)
The DRZ is decently quick, great handling and super cheap to insure/repair.
There are faster/bigger SMs out there, but they are typically more expensive and less reliable.
Feel free to DM me if you have question - I am happy to help. Plus I need some more SM friends
I had an '09 a few years back with a few modifications done to it. With the airbox opened up and jetted/full MRD exhaust it would lift the front tire off the ground from a standstill in 1st with some throttle and weight transfer in the seat. Pretty torquey engine for a small bike, a riot in the city. Not without faults though; the clock(s) failed like they've been doing since 2005 IIRC and they have a few other mechanical issues to watch out for which haven't gone away because they've haven't really changed the bike since 2005 when they first came out.
I've had a WR250X and a KLX250SF since then. The Kawi was a bit of the DRZ and WR combined, steel frame and carb of the 'zuk but 6 speed of the Yamaha. Cold blooded though, actually enough that it made me get rid of it pretty much for that reason alone. If I had to do it again I would take the WR, just a shame they only made them for a few years.