Joker: Nope.
This guy has conqurored the world by outsmarting a 5th dimesion imp on the spot using his unpredictable wits, defeated uber meta human assassin Deathstroke (think Captain America only evil with more weaponary: guns, lasers, explosives, etc) twice who also tried to kill him, outsmarted Lex Luthor numerous times, and in 1 day stole Aquaman's kingdom right from under him turning Atlantis against him. I could go on but these feats alone prove my point.
Penguin: Nope.
The Penguin normally hires people to do his dirty work for him and if he hears someone like the Punisher is gunning for him he's gonna hire poeple like Deathstroke or Zeiss to take care of Frank.
Killer Croc: Yes.
As long as Frank brings the right weaponary to the battle yes. Croc is a sloppy fighter anyway although immensly powerful so it wouldn't be smart to try to get into a close ranged fight with him.
Two-Face: Yes.
Harvey is likely to just have lots of bodyguards and security around nothing that Frank can't get passed.
Riddler: Nope.
A few months ago I would've said yes but since then Edward has changed a lot. He no longer depends on riddles to perform his crimes which was always his weakness and the reason why Batman was able to defeat him everytime. The new and improved Riddler has managed to outsmart Batman and defeat Green Arrow not to long ago too. He's also not shy about hiring help like an uber assassin Constantine Drakon (super reflexes and very highly skilled martial artist) to do his dirty work and laying down death traps for his victims.
Punisher would have a better chance luring all the criminals into 1 place and then setting off an explosive.