Hi.
Can anyone suggest some good websites from which to book flights and/or train travel within Europe (competitive pricing, of course)? My countries of interest in particular are Greece, Hungary, Czech Republic & Austria.
Thanks...

Try this:
http://www.whichbudget.com/

for flights, I like www.whichbudget.com

You can search either by where in Europe you are flying to or flying from. Scroll down unitl you find the locations you want. Then the links will take you to the different budget airline sites, where you can search for fares on your dates.

Make sure you check to see if the fares are in euros or in pounds (for example, Easy Jet is in pounds).

looks like we were posting at the same time, bookchick!

Wow!
That was the fastest response I've ever had on this site. Impressive!
Thanks for your time, girls...

I would also check Kayak as sometimes the main airlines have good deals. A couple of years ago we flew Madrid-Granada for EUR 39 on Iberia and currently Lufthansa has Frankfurt-Venice or Rome for EUR 100 (at least for Nov).

Paul