Hundred Dungeons has released its alpha character packet, and is being playtested in the wild! You can use the rules to run adventures designed for many other roleplaying games. In most cases it’s a simple matter of applying rulings using the Hundred Dungeons system, and replacing monster statistics with this game’s version of common fantasy creatures.
But since the monsters aren’t available yet, you can use this Conversion Guide to quickly convert material on the fly.
Broadly, Hundred Dungeons works well with both classic/OSR adventures and 5E-based adventures. This document is from the last few pages of the alpha packet, which give guidance on converting both OSR and 5E materials on the fly. The Monster Statistics table pictured here is included in that guidance to help with quick monster conversions.