Ok I got this game for PS3 and I have all the trophies, but we could always use more help in different games so here are some basics.

Untouchable= I think it is easiest to do this in part 5. You can skip a lot of fighting and it's pretty short... especially if you skip most of the fighting. (I used Nite Owl)

Turbo= Best to skip as much fighting as possible, I personally did not avoid finishers, or counters when fighting... who knows how close I was but I got the Turbo Trophy so that's the point.

Here is a rough outline for turbo with Nite Owl, use your Owl Suit smartly I am sure there is room for improvement.

I

Can't cut corners til shower room really, then run to end & fight til over.

II

Run to closed fence, fight till open, then clear area to help open door & then grapple up.

After grappleing up a few times, must fight before you climp up ledge.

After rejoining must fight to open garage door, near where you go back to street.

After garage door run up to closed fence and fight to open fence, good time for Owlsuit Power.

Run til next door you must help open, even better time to use Owlsuit Power.

At end clear enemies to open exit.

III

Run up to fence & fight, or clear bad guys (probably same either way).

Once fence opens run all the way to crane and clear enemies there.

Go back down and clear to go over bridge. Then run all the way to door, use Owlsuit Power, clear enemies and wait for door to open.

Run to next door and clear enemies, use owlsuit. Lift then wait for open. Careful use of owlsuit and grapple jump lift and switch to get through fence.

Will have to clear next area so use owlsuit well and clear to open fence.

Tricky run all the way to door switch and clear enemies, open door.

Clear enemies, wait for door to open.

Probably have to clear enemies again, run to fence and clear enemies to open fence.

IV

Run all the way to wheel door and clear enemies, open.

Run all the way to flashing door and clear enemies to continue.

Fight and run down path to wheel, open and run to trigger next area. Clear enemies.

Keep going down path, and two big clears. Lift right door, split up and run.

Tricky run all the way to switch and owlsuit clear last enemies. Then go through switch city and leave through right door.

V

Clear enemies, lift door, and grapple away.

When back with enemies run to grapple point and clear enemies.

Continue, skip enemies jump gap, climb ladder if possible... at next ladder clear enemies.

Just keep running til you get to garage door, clear last enemies and lift.

VI

Just win as fast as possible. Run all the way to enemy ladder surround and clear out, then move up to fight underboss.

After he runs around the 2nd time, run til you get to ladder and then probably will have to fight more.

Move on using proper maximum damage combos, blocks, and owlsuit.