gameon: Dont know if this is any good: http://www.debugmode.com/wax/

Bodkin: Mrkni se sem, ale popravdě nevím, co tam všechno je - http://www.pixelprospector.com/indie-resources/#video-recording-and-editing

DProject: I have the most experience of Adobe Premiere (Pro, not Elements but Elements is only a little bit stripped compared to it, so they're still pretty much the same thing), and I find it easy to use and it does everything I've ever needed it to do, so it gets my recommendation.

I've also used some version of Pinnacle Studio - it's been a while but I think it was pretty easy to use as well and the interface looked a lot like Adobe Premiere's IIRC. There was some reason I eventually preferred Adobe though, but I've forgotten what it was. Maybe Pinnacle wasn't as stable? Or didn't have as much exporting options? Or it randomly crashed? Can't remember.

Anyway, both are good, but if possible, I'd take Adobe Premiere over Pinnacle.

DProject: Well, like I said I haven't used Elements, only Pro, but if it's like with Photoshop that Elements is a stripped version of...well, Photoshop, then yeah I think you'll manage with Elements and I suspect Elements is just as easy to use as Pro. Everything you actually need is only the possibility to cut videos and export, so basically any program will do really. I've always thought that Adobe Premiere has been easy to use so that's why I would go with that. I also like the Adobe Media Encoder, the screen where you export your edited video. They give you plenty of choices and none are too cryptic about what they actually do and how they influence the exported video.

If you still have the Elements trial, try taking some game footage, bring it into Elements and export it with different settings. If the result looks good (without massive file size), then I think you have found your program. The settings I always used when exporting my Let's Plays, were:
-Windows Media (wmv) video format, Windows Media 9 encode
-Same resolution as the raw footage you recorded
-Bitrate of about 2000-2500 (I mentioned this before that I think YouTube caps at 3000)
-Framerate: same as source (I had 60 fps in my Fraps settings)
-NO deinterlace
-Two pass
-Audio encode: Windows Media Audio (wma)
-Audio bitrate: Anything between 128-192 kbps will do, whichever you prefer for the sound quality

but of course you're free to experiment and see what looks best for you. I am not saying these are definitely the best possible choices there are, but they worked for me really well. And if at all possible, the raw video footage should be uncompressed before you bring it to your video editor of choice. Or motion JPG.

Detlik: and Fraps is really best choice for game recording software?

DProject: I think so, although at one point it suddenly wouldn't start anymore, and others have reported this as well. I had to switch to Bandicam, but that's just as good if not better.