Here are my suggestions, mainly based on experiences because I wouldn't really want to recommend anything I haven't used, I will indicate where I am doing so though:
Lights:
Front: I use a Smart 5 LED one, around £15 from
Wiggle.co.uk, easily good enough for in city commuting, and can light up a cycle path in pitch black if needs be.
Rear: Blackburn Mars 4.0, again about £15, unbeatable for brightness on 2 AAA batteries. Very good indeed.
Locks:
I have 2 Kryptonite Series 2 D locks, and a cable for the wheels, as well as a combi lock for quick stops. The D lock and cable was about £30 IIRC
Tool kit:
Park tools always recommended, not sure what mine is, seems unbranded but good enough.
Pumps: Topeak and Blackburn have a good reputation, I have a Blackburn mini pump which is great but wont get you to 100psi on road tires unless you're superman, and I have a Topeak Joe Blow track pump, which is very good and not expensive (~£20)
Puncture repair kit: The weirdos (Mickle) wont use anything other than (forgets name), but in general something for a few quid at your LBS will do the job. Tyre levers are more important, people like the steel core park tool ones, but I use this thing called a 'Crank Brothers Speed Lever' which is nifty, cheap, and hasn't failed on me yet. Available on Wiggle.
Mudguards: Depends on the bike. I've got a MTB style crud guard on my hybrid, and SKS Raceblades on my roadie, one was about £15 with no front MG, the other (raceblades) were about £35, but it was front and rear.
HTH a bit