Which cleats provide more adjustment freedom?
All brands and type of cleats offer some left/right floating freedom.

Regular Shimano SPD have a lot of freedom.

Shimano and Looks cleats have different cleats to allow different range of left/right floats.

Shimano SPD-SL Pedal Cleats

Red 0° Float
Blue 2° Float (provided with high-end e.g. Dura Ace SPD-SL pedals)
Yellow 6° Float (provided with most Shimano SPD-SL pedals)


Look Pedal Cleats

Black 0° Float
Grey 4.5° Float
Red 9° Float


Have a looksie here for more pedals and cleats info.