They let you play with wall voltages? Not bad.
Going for a Zener Diode as a regulator? Personally I would use a standard IC style regulator but I guess this is schoolwork so such niceties are not going to happen.
http://www.kpsec.freeuk.com/powersup.htm pretty much covers what I would type out with regards to various design ideas.
http://www.kpsec.freeuk.com/powersup.htm#rectifier has the Zener "equations" at the bottom.
http://www.reuk.co.uk/Zener-Diode-Voltage-Regulator.htm is quite nice but not reference material really.
Still USB is 500mA for a single port which is quite a lot so you are going to need a bigger zener than the standard little things you see kicking around parts bins.
Your main problem will be that 5V is not really a common Zener voltage (5.2V is available and within the 10% or even 5% safety allowances/tolerances most electronics types work to- you could also add a resistor to the output I guess or if you prefer to low ball it 4.7V is available).
I am having a bit of trouble tracking them down but
http://uk.rs-online.com/web/search/searchB...205W#breadCrumb should get you something.
The resistor for such a current ranges also needs to be fairly good (have a high power rating)- this places you in wirewound territory. You say USB "charge" type arrangements so that is fine but remember for future projects wirewound resistors are fairly good inductors and so will probably annihilate any signals you might get.
http://www.rapidonline.com/Electronic-Comp...77/kw/wirewound
If I can persuade you to go the IC route* then 5V is easy
http://www.rapidonline.com/Electronic-Comp...ge+regulator+5v granted this one is surface mount. If you want through hole type things then
http://www.rapidonline.com/sku/Electronic-...s/29653/47-3290
*if you need to justify it then these things have lots of internal checks and balances, shutoffs and what have you.
Diodes for the bridge- you can get diodes that can take straight wall voltage AC (and beyond) these days to save you messing with a transformer. You pretty much just need a diode capable of taking the current (consider it 600mA at this stage at least) and not having a breakdown voltage below that of the transformer output (probably going to be around 7V but if you can get nearer 10V that will be better. Leakage current you can probably ignore for this one and forward voltage drop should not be that bad as long as you have the current rating suitably high (there is little point in manufacturing a rectifier grade diode and having it drop the voltage across it). Again you can buy straight up bridge rectifiers.
Datasheets for all the components are on the links- all good electronics shops will have them readily available.
As an aside apart from being one of the few good electronics companies supplying stuff in the UK rapid also have fair ties to education so you might not have work too hard to get stuff (your school might well already have an account with them) and it saves you having to deal with maplins.