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Also Jing and Fraps.

definitely check out Open Broadcaster Software - its free and open source - very useful for live streaming (like twitch..etc) and live local recording for youtube publishing. there are good tutorials in the OBS forum for doing whatever you would like with it. I get better results with it than I did with FRAPS. Hit me up if you need any help getting things setup and working.

MSI Afterburner is an overclocking program and a game recorder. From my use, there is hardly any framerate drop when using it.

Lightworks is a free (non-commercial use only, a.k.a. no youtube monitization) non-linear editor. It's quite powerful but takes a little practice. I have a GTX so I just use ShadowPlay, which doesn't help you. I think the Razor Game Booster might have some game recording features, no promises though, it may just be screen cap.

Fraps is great, although it's resource demanding and costs $37 for the full version, which was worth it for me.

Dxtory is the best for recording in my experience and Sony Vegas for editing.
Dxtory:
(http://exkode.com/dxtory-features-en.html)
Best setup video:
(https://www.youtube.com/watch?v=jw6YAoai8fQ&index=10&list=FLYjpCASxe_aABbVBeeYjtdQ)

OBS is fantastic, lightweight and open source.