I’ve not actually watched Cutie Honey but I found these two references of what to watch although it’s mostly geared towards where to start. https://reasonstoanime.com/2020/11/05/the-ultimate-guide-to-cutie-honey/ https://www.reddit.com/r/gonagai/comments/71et80/cutie_honey_anime_watch_order_recommendation/

It sounds like to me you should go ahead and watch the Original if thats what you’re leaning towards. Then you can do Re:Cutey or Shin Cutey (sounds like order doesn’t matter between them). I’d assume since Flash is an alternative version you could watch that and the movie after.

sauce? It’s giving me ‘I am a Hero’ vibes