While there may not have been many, there were apparently some. Otto Lohse conducted the 3rd symphony at the Gewandhaus in January 1922, for example (in a concert with Lalo's symphonie espagnole and possibly the world premiere of Graener's Variations on a Russian Folksong, Op.55). Does anyone know anything about him, about the reception the symphony received at the time, etc.?
The Boston Symphony did the Third Symphony in 1902 and the Fifth Symphony in 1903, along with the overture "Ein feste Berg" that same year. After that there are no more performances of Raff.
The New York Philharmonic did the Third Symphony in 1906, 1917, and 1931 (under Toscanini), and the Fifth Symphony in 1906, 1912, 1913, 1916, 1917, and 1919.
I am including only complete performances. There are also a few 20th century performances here and there of single movements, but these end by about 1930.
The coupling in January 1931 - d'Indy's Istar - I'd regard as interesting too, if maybe less so then.