A: 

Switch list is nice.

Exchange dialog is also fine.

Btw, do you also have a drag/drop interface?

Gamecat
I must admit that I've implemented this without drag/drop in the past.
Greg
A: 

As silly as it may sound, I've always gone with "Dual-list Selector". Highly technical.

Jack M.
+6  A: 

Mutually exclusive list

Element
Seems logical... I like that, I think I might prefer it to my Subset Selection Dialog.
BenAlabaster
I'd buy "mutually exclusive list selection dialog" or simply "List Selection Dialog," but a Mutually Exclusive List could be any list that is mutually exclusive (a dictionary, for example).
Robert Harvey
+2  A: 

Double List?

Mark Renouf
+2  A: 

To be very honest, I always thought it was called simply "Moving items between two list boxes".

Cerebrus
Yes but we need something that produces a nice acronym - this is after all the I.T. industry... MIBTLB doesn't exactly roll off the tongue :P
BenAlabaster
"Juggling Between Listboxes" - JBL, maybe ?
Cerebrus
and include the word dialog... we need to know it's packaged nicely :P JBL dialog or JBLD lol
BenAlabaster
+2  A: 

Subset Selection Dialog

BenAlabaster
One more "S" in the right place and it will SSDD ! :P
Cerebrus
I was trying to work it in there but just couldn't stretch it...
BenAlabaster
A: 

Let's be a bit clearer about the functionality here ..

The way you showed it, it's basically a different way of doing a list that allows multiple selection (then I'd call it a 'chooser').

The more typical usage scenario I've seen is with some ordering functionality (implicit - the new item gets added to the bottom, or explicit with up/down/top/bottom buttons) to put the things in the 'added' list in a certain order.

Not sure what I'd call it then, because it's choosing and ordering .. ordered list chooser or selector.

IronGoofy
Yes, it is a glorified multiple selection box. I personally don't like it, but users seem to.
Greg
+1  A: 

Where I work we call it an "Add Remove Box". Don't know why, it just happened that way and it has seem to stick.

jschoen
Why does that remind me of the "Add Remove Programs" thingy in Windows ?
Cerebrus
I don't know, but I thought the same thing the first time I heard it. I even made a comment, but apparently it was already engrained with everyone else so I just went with it.
jschoen