The term that seems to be used most often with cameras that
have an electronic view finder is ZLR (Zoom Lens Reflex). See
rec.photo.digital.zlr.

I don't quite understand why since I thought "reflex" referred to
the moving mirror.

In the early days of DSLRs, ZLRs were known (at least in my circles)
as prosumer cameras. That was when DSLRs were only likely to
be owned by professionals as they were so expensive.

-Mike

Current usage may include the term ZLR (zoom lens reflex) to describe
SLR-like cameras (although I don't particularly care for the term myself).
These cameras tend to have the same shape as an SLR, and have the manual
controls which are lacking in the simple point-and-shoot flat bodied
cameras.  There is a newsgroup devoted to such ZLR cameras here:

 rec.photo.digital.zlr

Some people demand that on an SLR, the reflex part must be achieved with
mirrors, whereas on the ZLR the reflex is electronic.  This does limit the
quality of the reflex finder, and may prevent highly accurate viewing such
as depth-of-field preview or manual focus.  For this group,
interchangeable lenses and complete systems of add-ons distinguish the SLR
from the ZLR.

David

This website may help
http://www.steves-digicams.com/digi_dictionary.html

From there

ZLR - Zoom Lens Reflex, a term coined by Olympus to describe their fixed
mount lens SLR type cameras. An SLR camera has interchangeable lenses, a ZLR
has a non-removeable zoom lens.

Toa

I think they're making a distinction between a camera with
interchangeable lenses (SLR) and a camera with a fixed
non-interchangeable lens (SLR like).

The Fuji S5500 appears to be a SLR, just one without interchangable
lenses. Looks to me like when you look through the viewfinder, you're
looking through the taking lens. And that's the definition of a SLR,
i.e. Single Lens Reflex camera.