Our local galaxy, with binaries of the same mass with a separation of no more than 1 AU. The densities are of no concern as long as the masses are similar.
Unfortunately, I couldn't find a list for this, so using Space Engine (I couldn't find a better option), I found a few (almost) matches:
- LTT 1445 B and C, somewhat close to a match;
- Epsilon Indi B, much closer, if you accept brown dwarves;
- Kepler-444 B and C, almost a perfect match;
- HD 106906 AB, even better.
These are all just binaries within a ~326ly radius of Earth!
I should mention that Space Engine's parameters are likely at least 9 years out of date.
EDIT: as requested, https://spaceengine.org/