I read through your introduction and if you didn't already watch shows with your favourite groups, I would recommend:
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Hello Baby (the season with SHINee),
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2NE1TV (actually I don't know if their is something like this for Big Bang but there are some scenes with Big Bang, but as a secret^^ you can also search for those scenes on youtube ;] )
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Thanks you for waking me up/
Thank you for raising me, the second is the continuation of the first but with a different topic, SS501 show, quite nice!
If you want shows for SuJu, it's actually easy to find them in every variety show where there are many different guests...for there own shoes...I think there was a short one recently but this was more like a documentation, all the others are quite old T_T (but you can see a list here
http://en.wikipedia.org/wiki/Super_Junior_filmography )
If you want to learn about others groups I can recommend you some which are available in a good quality (since they are new and luckily they weren't taken down by yt) they are all with eng sub, if you need them:
Infinite:
Ranking King,
Birth of a Family,
Sesame Player
MBLAQ:
Hello Baby,
Sesame Player,
Idol Manager
Teen Top:
Rising 100%,
Secret Island
B1A4:
Match Up (together with Block B),
Hello Baby
Shinhwa:
Shinhwa Broadcast (it's getting really really funny after the first few eps, imo)
So for the end (sorry if I bother you with my long comment^^)
If you want to watch shows where there are different guests in the episodes:
Running Man,
Infinity Challenge,
High Society
and also I'd like to suggest
Weekly Idol (I think there are 2 or 3 eps with FTIsland, you can find everything on yt)
I hope I could help^^