Could someone tell me the names of the regions of hell, please?

That's probably a wide open quesion. There are many beliefs that encompass many hells and many levels.

I'll start with Dante's Inferno -- Here are his nine circles:

Limbo, Lust, Gluttony, Avarice, Wrath, Heresy, Violence, Fraud, and Treachery.

http://alt-usage-english.org/ucle/ucle7.html

Which faith are you referring to, as different faiths will have different names. Wikipedia gives a list of the concepts of "hell" for different faiths.

https://en.wikipedia.org/wiki/Hell

Personally, one of the regions in my Hell would be called "IKEA" ;-))

Jahennam should be checked out, although I am not sure if it has any "regions".
https://en.wikipedia.org/wiki/Jahannam

And, of course, Gehenna.
It might be the same place as Jahennam and it might not, but the name stems from the same source.
https://en.wikipedia.org/wiki/Gehenna

Naraka is the name of the "place of torment" for the Buddhists and the Hindus.
https://en.wikipedia.org/wiki/Naraka

As a Norseman I risk going to Hel, "the place where evil men go upon death".
https://en.wikipedia.org/wiki/Hel_%28realm%29

Since you ask for "regions", you must think of Dante's Inferno.

This has already been answered, but if you want a guided tour in the 9 levels of hell, this is a place to start.
https://en.wikipedia.org/wiki/Image:Dante_Inferno_Levels.png

Personally, I didn't know what "gluttony" was, here is some explanation.

* Praepropere - eating too soon
* Laute - eating too expensively
* Nimis - eating too much
* Ardenter - eating too eagerly
* Studiose - eating too daintily
https://en.wikipedia.org/wiki/Gluttony

And then, finally: Maybe someone can tell me why "eating too daintily" is a sin that belongs in hell. I thought the opposite was the case.

Wow - thanks for the comprehensive answers! I was probably being too general, but I wasn't really asking for a specific 'Hell'. I was actually asking for the NAMES of any regions that aren't called '--- Circle', the name of the sin etc. But so what if I didn't get the answer I was looking for? I've had great fun looking around all these links!!!