Use the keyword “square” when searching sites such as MyFonts.
I use that description in the metadata whenever I upload a squarish face to distributors.
However, I have yet to tag a face as “great” or “respectable”, although the user feedback in “liking” (number of stars etc.) may provide some indication.

Square Sans Serifs at FontShop.

Serif or sans serif?

Look right next to the great respectable racecar with square wheels. ;-)

hhp

Eurostyle/Microgramma, but not so fresh ;)

You could take a look at Trilon Expanded

Priori?

On the serif side there‘s Melior, and the likes.

Geogrotesque ?

All I can recall atm are the various computer-futuristic faces plus Larabiefont (monospaced).

I second riccard0's Melior. That's the first thing that came to mind.