this has been a question for some time now if you have runningshot can you do a successful breakaway and still perform your runningshot as you run

Yes, provided you make the breakaway roll. If you miss the roll, you cannot attack. Also remember that the attack comes after you stop moving, so you would make your roll, move away up to half your movement, then take your shot.

An interesting side note. If you fail the breakaway, you can use a TA that allows a free move instead of having to use one of your actions, after rolling breakaway.

Not really. The failed action would still have been a power action, and so still wouldn't work with the Avengers (and company) team abilities.

Also, calling them "free move" abilities might give you or someone else the wrong idea about them, as it's very important that they are not free actions. The outdated "free move" label really just serves to confuse people one extra step.