Salve, Regina, Mater misericordiae
Vita, dulcedo, et spes nostra
Salve, Salve Regina
Ad te clamamus exsules filii Eva
Ad te suspiramus, gementes et flentes
O clemens O pia
It Would've Been Wonderful from A Little Night Music.
When I see the phrase "the ____ estate", I imagine a vast mansion in the country full of monocled men and high-collared women receiving letters about productions across the country and doing spit-takes at whatever they contain.
-Kad
By the way it was phrased, I'm assuming the OP is asking for songs that say we're the stereotypical, traditional image of men, counting Bare out.
Can you take a solo and turn it into a duet? Like "Me" from Beauty and the Beast? Or Next to Lovnin' from Shenandoah is a group number between the five brothers that could easily be split two ways.
"Pretty Women" from Sweeney Todd and "Poor Jud Is Daid" from Oklahoma are two great duets that sound best with macho-sounding male voices. Another good duet (though it is for a bass and a tenor) is "Lily's Eyes" from Secret Garden.
In my pants, she has burst like the music of angels, the light of the sun! --Marius Pantsmercy
Just to "agree"... "You're Nothing WIthout Me" from "City of Angels" is a pretty effective piece. I've done it in a few club shows and it always works. On a lighter edge, turn "Standin' on the Corner" from "Most Happy Fella" into a duet. Also you could re-write some of the lyrics (if you dare) to "Anything You Can Do" from "Annie Get Your Gun", and make it a one-upsmanship kind of thing. Done that, too, and it didn't take too much tweaking as "Special Material".