A lot of pouch underwear acts as a banana "hammock" but my best find for briefs has a pouch that cups more like a bra. The C-in2 Core low rise brief or the same shape but thinner fabric C-in2 C-Theory low rise brief. If I'm going for sport then run of the mill multipack adidas performance trunks are fine.

The C-in2 briefs are not modest, these briefs are basically as described elsewhere in the thread: a bra for your junk as an alternative to an extra-pair-of-shorts boxer underwear. Just like bras don't have extra fabric, these really don't leave much to the imagination. The model pictures are edited to not show a full profile. Super quality waistband is a big sell point. Less pushing your balls into a sleeve to lift your penis type pouch and more like a sports cup, so no hanging, swinging hammock.

Boxer briefs are fine for modesty in some cases if showing too much skin is be taboo. But yeah, any standard underwear offers no support and boxer briefs with pouches also still show your junk a bit. Also my junk falls down the leg of boxer briefs making it possibly visible whereas a cup brief keeps my junk in one place, hardly a bulge through my clothes, and way more comfortable. So F it, my d my comfort and sensibility