I had to get a new logbook when I converted my FAA license to JAA license.
Depending on what country you apply to do your conversion, I can't tell you if you will have a problem if the logbook isn't stamped or is stamped. When I brought my logbooks to Greece the FAA wasn't stamped and they didn't say anything. So I guess it all depends, if you go through the United Kingdom I would probably get it stamped to make it official, the English are known for being picky about ALL THESE THINGS, did I mention EXPENSIVE aswell
This is the logbook I use:
It's a beast compared to the smaller logbooks we were use to in the United States but what can you do. It has a bit more information as bubi325 said. The biggest difference I saw was with the hours, .1 = 6 minutes but for the JAR you actually write the times.
For example if your flight was 3 hours and 12 minutes, you wouldn't write
3.2 instead you would write 3 hours and 12 minutes in the appropriate columns.
Hope this helped. Good Luck ...!