I take it that money isn't a problem? A good Beemer will cost you dear. I agree it's a truly excellent overland instrument but you do pay through the nose for German engineering.
If money is a consideration then you're probably better considering something like an XT600E or it's direct replacement an XT660.
You can still get a fine condition, low mileage XT600E for no more than £1,800 in the UK. It's easily capable of doing most things including a full blown RTW trip. The only thing it struggles with is Motorway work. Providing your happy poodling along at no more than 70MPH, it's brilliant. When it comes to scratching around town, NOTHING but nothing beats an XT. It's fun fun fun all the way....
Then again I am a bit biased...
Triumph Bonneville 800 (2004), Yamaha XT600E (1999), Honda XBR500 (1986).