In general, knights can outrun monsters (while demonstrating being fleet of foot is just as valorous as bashing). But there are some foes that appear to run / dash / flit / fly faster than the run-of-the-mill knight.
Which ones are they?
And here's another question: do all knights run at the same speed? (Remember: you don't have to run faster than the bear. Just faster than your friend.)
Laminarflo
Greaver (fiend), Alpha Wolver when dashing/dodging/burrowing in Tier 3 (beast), Phantom (undead), Oiler (slime), charged Quicksilver (help!).
Also the Royal Jelly during a spin-tantrum, I guess.
Zombies and Sppokats can lunge very quickly, but only as one of their attacks-- complete with warning light. And the Zombie lunge is very easy to dodge or block.