Well, Iconians and Yor both have Kinetic Streams in the Beam branch. Drengin and (I think) Korath have Ion Beams; Arceans have some kind of Neutrino Bullets in the Mass Driver line. A number of races have Disruptors instead of Phasors. Um, that's just off the top of my head. Oh yeah, Iconians have Seekers instead of Stinger missiles.
You could certainly use such weapons with a custom race. You could either choose a tech tree that has the desired weapons, or you could put together your own tech tree with the weapons you want.