Interesting relevant discussion here. Seems that this is mainly relating to only one conjugation and in many cases both forms exist.
nadagio said.I've found this wiki page https://en.wikipedia.org/wiki/Japanese_irregular_verbs which I'm hoping will be comprehensive with the irregular te and suru verbs.Wow, those are very interesting to read. I guess I'll just leave it up to native Japanese speakers correcting me if/when I use these words.
BTW, going through the list, I found 10 verbs in all that are in this weird, debatable category: