We are seriously considering a house that ticks a reasonable number of boxes for us, and one of the appeals (for me) is the views across the park opposite.
Obviously no-one overlooks you from the front, and the vista during the changing seasons could be magnificent... but I am worried about crime- it is an informal park, no formal beds or buildings or anything, and we currently live pretty locally to it, so we know there's not a reputation for muggings or anything... but there is an issue with cottaging
(though the bit of the park near the house is open heathland, without trees, so presumably sex-free...) and just this week 2 roadworks vehicles that were parked in the park (they are redoing the driveway from the road to the carpark) were torched at 5:30 am!
This is unheard of in our area btw- vehicle arson just doesn't happen here, honestly, we're in a city but it's a nicer part of the city or so I thought.
Does anyone else have experience of living by parks? Should we just forget it and look elsewhere? 
I just want somewhere a little more rural-feeling, but we are tied to urban-life for a number of reasons. The house felt good too- enough living space for us, and enough bedrooms.