Employee medical scheme - what kind of med tests can I ask my GP to run?

How long is a piece of string? Your question is really open ended? Are you proposing you have your doctor, do all the test he can, purely because, your company medical scheme might cover them. Lay up on table there while we check you prostate, take bloods to test for cholesterol, signs of diabetes, when there are no other indications. Maybe check your tyhroid level too. Sound like you are on the way to be becoming a hypochondriac. If you have specific concerns, that you have been putting on the long finger, then by all means see whats going on. The internet won't be able to tell you what you company sick scheme cover. There are 100's if not 1000's of different health insurance products on the Irish market alone. It would be impossible to determine what you may be covered for. Check any litearture you have been provided with.