Same or better quality than Brioni is a bit tough. The only ones that comes to mind is La Vera and maybe St. Andrew (old RLPL). Attolini/Oxxford/Kiton also but they are all pretty much well known now. Here are some brands that are unknown and are slightly below Brioni level:
Isaia (pretty well known now, in NYC at least)
Borrelli (see above)
These are pretty well known on SF though but I'm assuming you mean to the general public.
Higher than Brioni standards is pretty tough and all brands mentioned have been discussed in some way. I would add 9.2 from Italy(they don´t even have a website, but just a shop in Padova and Verona). Maybe Delvaux from Belgium?