The screws in computers don't have to deal with much so "Philips" is indicated. They are a few mm long and hold tin plate sheets together or hds in the case etc.
You can have say 120mm+ long woodscrews - No 10 with cruel cutting points and fancy low friction finishes. These beasts need a lot of driving and the extra hold that the additional cross gives really helps. My drill driver can easily wrench your wrist if you are not careful.
Beyond that you have things like concrete screws - 150mm long, 10mm wide. Drill a pilot hole first 8mm? wide and off you go. These use a hex head. I also have some whopper fasteners for things like sleepers that drive into wood with a hex head and need a shit load of torque. You soon learn to use your leg as a stop for things like that.
Torx n Pozi is everywhere in the UK - more so than Philips. Have a look in B&Q, Screwfix et al sometime!
I own an IT company and do quite a lot of DiY. I think Pozi is dominant in the UK for cross-headed screws.