The globe lamps definitely look like theatre lamps. They are either for spotlight or floodlight service. The spotlight lamps are rated for 200 hours and have a more concentrated filament (don't know the exact designation). Floodlight lamps are 800 hours. Large followspots used the spotlight lamp as well as possibly other fixtures. Floodlights are used in what we call scoops now. Some scoops made today still use globe floodlights such as
this Altman scoop, although this one is only rated for 400 watts and probably has a medium base. Other scoops take the larger lamps, but typically use PS-shaped lamps now.
The PS-shaped lamp in your collection could be used for almost anything, including high-bay lighting (in gyms, factories, warehouses, etc), yard lighting, or theatre. If it is an unusual wattage, it is for streetlighting.
The last E shaped lamp looks like a high intensity discharge lamp of some sort, possibly mercury or HPS (if it is a newer lamp). Nice lamps!
-Nelson