I have laminated all kinds of papers. The ones that work best are papers like Epson Premium Glossy. In the past I have mounted prints on dibond, wood, glass, ikea wardrobes, treehouse etc. I even created a copy of this famous Zanotta design table (http://www.architonic.com/pmsht/quaderna-zanotta/1002112). Always printed on Epson 9800/7880 and 7900. Lamination is great for these interior design kind of stuff (be it glossy or matt) but for photos on a gallery wall the look is too plastic.
For my own photography I have been using 3 and 4 mm plexiglass instead. Usually I would mount the (premium glossy) prints under plexi and then put them on dibond or even on wooden boxes as can be seen here in this exhibition in my gallery a few years ago (in this 360 image you can see my prints mounted on wood and plexi, the first try of the Zanotta table (turn 180 degrees) and underneath the table you can also see the silicon roll mounting machine I use) The link is here
Pardon my ignorance, but doesn't an acrylic facemount *also* look like plastic? Or, to put it another way, similar to a perfectly-smooth, highly glossy Cibachrome print? After all, you're essentially mounting it behind a big piece of plastic...
Not that there's anything wrong with that look, of course. I use flush-mounted metal prints for my exhibitions, which have a similar effect to face-mounted acrylic, in that they have a smooth, extremely glossy surface and, in the right lighting, take on a 'glow' that makes them almost appear backlit. My main issue with acrylic facemounts is that they can bubble over time, rendering the entire print worthless.
Have you had any problems with delamination or the laminate changing colour (e.g. turning yellow)? Compared to your acrylic facemounts, how glossy are your laminated prints, especially those made on not-completely-smooth papers (e.g. Hahnemuhle Photo Rag, Photo Rag Pearl or Museo Silver Rag)?
Also, does laminating get rid of any problems with bronzing and gloss differential? If so, I might be more open to the gloss papers - after all, matte papers have the problem that, if you so much as press a finger into them, you'll leave a dent...
Trick with roll mounting is to go slowly. You will not have any problems with air bubbles in that way. With plexi an antistatic horsehair brush is needed.
I don't plan on doing any mounting myself -I don't have the equipment, time or skill for that!