1. Does anyone know the show aired on cartoon network in toonami section where there were human space ships with battalions of robot fighters. The people used to climb into the robot suits and defend the ships. Every once in a while a white super-robot would come to rescue the empire from pinch.?

2. the show where all the people used to have backpacks, and shoot ropes from them. The backpacks would then carry them along the ropes?

1. Does anyone know the show aired on cartoon network in toonami section where there were human space ships with battalions of robot fighters. the people used to climb into the robot suits and defend the ships. Every once in a while a white super-robot would come to rescue the empire from pinch.??

2. the show where all the people used to have backpacks, and shoot ropes from them. The backpacks would then carry them along the ropes??
My kids say it was called GUNDUM, I hope this is correct. All three agreed which is rare. This was the answer to your question 1. They didn't have a answer for 2.

Try "Sky Commanders" (1987) (http://www.imdb.com/title/tt0192930/) for the second show. Here's a clip from youtube: YouTube - Sky Commanders - 01 - Assault On Raider Stronghold Pt.1 (http://www.youtube.com/watch?v=i1RlkPQuEXg)

Its ninja robots... I too had a doubt confirmed it check it up... its the same