I'm not going to google these for you, but a quick glance through them-
hpqgalry.exe - First guess, something to do with a HP camera or printer, probably axeable.
zdwlan.exe - ???
ctfmon.exe - This is a piece of MS Office, leave it be.
taskmgr.exe - The Task Manager you're looking at

iexplore.exe - IE, hopefully you know.
plaxohelper.exe - "Helpers" are typically anything but.
wzcsldr2.exe - ???
airgcfg.exe - Most like the config process for something, the question is what?
verizonservice(whatever the rest is) - Probably axeable.
smax4pnp.exe - Probably a piece of your onboard sound (smagent told me that), but worth a look.
ccevtmgr.exe - An event manager by the looks of it, but something you actually want, or?
rundll32.exe - Runs a DLL as an app, part of windows; hands off.
hpwuschd2.exe - Something else from HP? Scheduler?
ccapp.exe - ???
tqit.exe - ???
wuauclt.exe - Part of automatic updates.
explorer.exe - This is windows, if you didn't know.
Ok, after that: i see i only have 22 processes running now - you have 39.
Not a big deal in itself. At cold startup I have around 35 processes running - I could chop 5 or so more, but that would mean manually restarting them before using various programs; isn't worth the trouble.