I would look at coil & wires - cheap & easy

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This is a 325i with M20 engine and it high speeds and high rpms i
misses.  Nothing at low rpms however

What are some of the first things to check, plug wires and distributo
cap

Could it be something else like plugged cat or fuel filter?  It ha
real high miles past 200K and I think it runs really rich
you"l need to find out first what cylinder its missing from?
you can try scanining it for codes & see what that comes up with
also check or replace your basics like

-spark plugs change them & make sure there properly gapped to manufactures spec
-spark plug wires are they still original ones?
-check for arching or signs of cracks on them if there old change the
-distributer cap and roter if its got a few years on it change it
-fuel filter definatly change it

Thats where i would start try that first that way you
can eliminate your basic items. then you can start running some tests
and posibly start looking at other item

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johnin

Fuel filter, dist. cap and rotor (very likely) would be my first guess.
Motronic systems don't like worn dizzy caps.