For a 60 litre tank? That's roughly setup max 70 kilo
I guess that would be peanuts for a decent construction with plexiglass.. I have seen chairs made from it holding a 110-kilo man with ease.
Example: Rated up to 300lbs
https://www.amazon.com/FixtureDisplays-Chair-Acrylic-Plexiglass-10035-3-H/dp/B01GZI4IWQ
Depending the looks you are after next to cementing it can also be screwed. You can tap thread into it and use countersunk Allen bolts for reinforcement. I have seen furniture pieces from perspex done like that and it looked rather decorative. It can give a nice industrial see-through appearance. If you are working with doors and hinges, you can't get around screwing anyway.
Well not entirely true, acrylic hinges to glue are available. But that's tricky work. It can't be readjusted once it is glued in place.
The load-bearing from the construction, of course, depends a lot on the material thickness you want/require to use.
But material-wise, you can replicate an ADA cabinet completely from acrylic, if cemented correctly with care i'll bet it will be stronger than the original. Nowadays PMMA can be bonded extremely strong with UVA glue. Stronger than the solvent weld type cement.
Creating something like this from glass, it would be highly recommended to make it from laminated safety glass. I guess that will spoil it price-wise. As far as i know, that needs to be laser cut. Or custom manufactured.