A common problem with the 2.5L engines in the 2.5RS are head gaskets starting to leak around 100,000 miles. This is why Subaru normally warranties the head gaskets until 100,000 miles. It isn't an urgent issue and will not cause any catastrophic failure, but It will leak oil. Unlike other cars that urge you to stop driving immediately when the head gasket leaks, the nature of the leak in the Subaru engine allows you to drive for quite some time before fixing it.
My 02 2.5RS had a leaky passenger head gasket. I drove on it for 4000 miles before repairing it myself(required a weekend to do and pulling the engine out of the car. Experienced mechanics can do it in under 6 hours). I have had quotes from $1500-$2000 for 3rd party shops to repair.
If you are looking at a car, be sure to ask about service history, especially head gasket replacement. If they have been replaced, you're good for at least another 100,000 miles. If you are looking at a car you found on craigslist, you can see the gasket seam about 6 inches in from the left and right edges of the motor. Typically if you see oil stains around/ontop of the seam, it could be the head gasket. Any Subaru mechanic would be able to point it out in 2 minutes.
A compression test will help see if the head gasket is ok, but it can be difficult to do on your own, since you usually need to remove the spark plugs and thread the tester in their place. The spark plugs are on the side of the engine and therefore clearance can be an issue.
You won't need to worry about turbos or anything as the 2.5RS is normally aspirated and doesn't have a turbo. The engines are very strong and quite durable, aside from the head gasket issue. The 5 speed manual transmission also runs very well but will not handle the shock of a tuned motor pushing 300+ hp. The automatic transmission is equally durable.
Bottom line, if you plan on keeping everything stock, you will have a fun to drive car that is very dependable. Even a head gasket leaking issue will not put a damper on your day, and will be worst you will probably ever see, if you even do.