So when you look at the first of those two diagrams it seems to show thrust effectively generated from the high pressure turbine (group of four) thence the equal and opposite direction thrust would react on those turbine blades.
So it appears that this action/reaction is similar to what makes an ordinary propellor move through the air.
Sort of. Part of the thrust generated by the exhaust from the combustion chamber drives the turbine which in turn drives the compressor and the rest of the thrust pushes the engine forward. A bit like a 2T motor where some of the torque generated by the piston is used to drive the pistons back up and the rest to drive the back wheel via the clutch and gearbox.
The top engine is a turbo fan while the bottom is a turbo jet
Yeah, I wasn't going to go into that but that was the best piccie I could find.
Pancho, as Montynut says the first piccie is of a turboFAN motor. The first "propeller" is actually external and is not used for compression but is really a giant prop on the end of the shaft. Its this that in most modern engines provides 75% of the thrust. The exhaust accounts for the remaining 25%.
PS it's this propeller that is most obvious on almost all airliners today.