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Fixtures
Generics
Usually tungsten-halogen lights. They don't have a DMX input, so a dimmer rack is used to send them different amounts of power to control their brightness. You can use gels, gobos and their shutters to control the light. Used for general illumination.
Intelligent Lights
Lights that can be controlled by DMX, and powered through powercon or IEC. For example, LED's where you can control the colour, or movers where you can control the position, through DMX.
COB
COB (Chip on Board) lights, LEDs that are supposed to mimic the optical characteristics of a parcan. Tech crew own Prolights StudioCob FC, which only have RGB chips so make a pretty bad white but excellent big bold colours.
PAR
PAR (parabolic aluminized reflector) lights have a reflector, lens and light source (either filament or LED) all in one fixture. Tech crew own Prolights LumiPar 12HPro, which have RGBWA+UV chips (Red, Green, Blue, White, Amber, UV). This means our PARs can make nice white colours.
Batten
Equinox RGB Power Batten.
Ghibli
Ayrton's brand of moving head light. Also a great movie studio.
Specials
Can be either generic or intelligent, specials are often focused on highlighting a particular area.