Here are a couple of new ones:
Radioactive: Kill 5 enemies with the Fuel Rod Cannon without dying.
Uranium: Kill 10 enemies with the Fuel Rod Cannon without dying.
Chernobyl: Kill 15 enemies with the Fuel Rod Cannon without dying.
Magnetic: Kill 5 enemies with the Hydra Launcher without dying using Smart Link
Lodestone: Kill 10 enemies with the Hydra Launcher without dying using Smart Link
Neodymium: Kill 15 enemies with the Hydra Launcher without dying using Smart Link
Rocket Rain: Kill 5 enemies with a Rocket Launcher variant without dying.
Rocket Downpour: Kill 10 enemies with a Rocket Launcher variant without dying.
Rocket Storm: Kill 15 enemies with a Rocket Launcher variant without dying.
Heat Lightning: Kill 5 enemies with the Railgun without dying.
Lightning Strike: Kill 10 enemies with the Railgun without dying.
Chain Lightning: Kill 15 enemies with the Railgun without dying.
Firestarter: Kill 5 enemies with the Incineration Cannon without dying.
Wildfire: Kill 10 enemies with the Incineration Cannon without dying.
Inferno: Kill 15 enemies with the Incineration Cannon without dying.
Neon Lights: Kill 5 enemies with a Beam Rifle variant without dying.
Argon Lights: Kill 10 enemies with a Beam Rifle variant without dying.
Lightshow: Kill 15 enemies with a Beam Rifle variant without dying.