There is a reason stage lighting etc has "barn door" style shutters!
I suppose you could fabricate a collar for many of the common flood light form factors to collimate the output a bit.
Yup - PIR on the light fitting itself is rarely ideal.
I tend to use (multiple) dedicated PIR modules to switch mine in groups.
So for example I switch the garage apex flood, the lantern on the pillar next to it, and the lantern on the side door toward the rear of the building together, using two PIRs - both mounted quite low so they can only be triggered from inside the garden. One to catch as you walk up to the rear door of the garage (it also spots you on the path down the side of the house) and one looking out obliquely across the front garden. So you can trigger it approaching from either of the likely directions. Ideal for say taking the wheeley bin to or from the front garden in the dark.