Star BM Accuracy Issues

Load it with fat bullets if you handload. My Browning Hi Power (Belg/Port) was so so with accuracy until I started feeding it .358 cast bullets. Shoots like a target gun now.

Sorry, I don't know of anybody making tight bushings or oversize barrels for the Stars.

EMC has your best chance; a lot of European 9mm barrels are larger than we think they should be.

First thing I would suggest is to carefully inspect your pistols muzzle crown. Any dents, dings gouges etc there can and will mess up accuracy. You can re-crown with valve lapping compound, a brass round headed 1/4" bolt head and an electric drill. You can try using cast bullets for a .38 Spl. They should run 0.358" versus the standard for 9mm of 0.356" Following that, new barrels are readily available. JG and others have them.
Worthy to check to see if your barrel link has been stretched, common with BMs, EGW has new ones that are far superior to the originals.
My BM is not a target pistol, but is adequate out to 50 yards. I guess you could call it combat sufficient.

EMC45 said:

Load it with fat bullets if you handload. My Browning Hi Power (Belg/Port) was so so with accuracy until I started feeding it .358 cast bullets. Shoots like a target gun now.

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Yup. My BM had the same problems until I switched to a hollow base type bullet -Federal 105gr eFMJ - and the groups settled down to a consistent 3-4” two handed, no rest.
For the OP, do you hand load 9mm?