Thanks for all the responses guys. People I know have told me a mooney is good on grass strips (I haven't landed one yet, but heavy aircraft with somewhat small wheels and sitting close to the ground does not soUnd the best to me). [...]
I am only familiar with Mooney M20Cs and Es, these are however not far off from Cessna 172s, in this regards.
The Mooneys have 6.00-6 on the mains and 5.00-5 on the nose wheel - the same size Cessna was using for all model year 172s.
The Mooney M20Cs and Es have a max. gross weight of 2,575 lbs.. Cessna 172s range from 2,200 lbs. (early straight tail) to 2,550 lbs (latest 172S). The typical 160 hp 172 has a max. gross weight of 2,400 lbs.. It appears as whether the Mooney's empty weight is even lower than the empty weight of at least the newer 172s.
I never compared our Mooney M20E's prop clearance to a 172. Compared to a 182, with a properly inflated nose gear strut, the prop clearance is around 1" less. However, the Mooney sits on rubber pucks, whereas the Cessna nose gear is pretty soft and needs to be properly inflated. A 182's nose strut, I saw last weekend at a fly-in, was not inflated correctly. Its prop clearance was about 3" less than at our Mooney.
Personally, I take our Mooney anywhere I would take a 172. Actually, compared to our old 172G with the 145 hp engine, the Mooney does much better on shorter fields, particularly heavily loaded, due to the much better take off and climb performance. 200 hp + a constant speed prop do make a difference and overcompensate for the moderately higher speeds, for take off and Vx.
The only thing I want to avoid, compared to a 172, is high grass, as I am concerned that it might damage the gear doors.
I am certainly not trying to sell Mooneys as serious backcountry machines. A standard 172 or Piper PA28 however doesn't fit that mission either. I am convinced that, at least the older Mooneys, are closer in regards to where they can land and take off to 172s or PA28s than many people realize.