Lots of good points made. The right guitar, vibrato, bending, etc is more important than exact effects and amps, but they are important too if you really want to nail it.
With my beater strat (Duncan ssl-5 in bridge) and my POD I can get in the ballpark. I also spent a lot of time learning to play like that when I was younger so it has become a part of my style. Anyway, a decent overdrive and a bit of delay into a clean amp will get you close for the leads. For rotary the Lex is probably the closest you can get without getting an actual Leslie or similar. A good univibe will do it too. I had the VL Microvibe but honestly liked the vibe in my pod as much or more so I traded it away. Still want a quality univibe though.