My house backs onto the school field.
Noise - the courts are directly behind my fence so we do hear them during pe lessons but it isn't too bad. There has been occasional noise from building works but nothing major (though would have been a nightmare when the [replacement] school was being built about 10 years ago) The most regular noise is the tractor doing the fields.
Parking - This is not an issue for us as we are not hear the entrance, the school has a drop off zone though within the gates so this reduces the need for on street parking outside.
Traffic - This is the most difficult aspect, the school is at the top of a 'one way in/out' road which has multiple residential streets off it. In normal periods this isn't a major issue for residents but at school time it is a nightmare, traffic trying to get in and out of the school plus residents leaving for work or other schools etc. This is compounded by the fact the road is on lights, which is off a main road - this has two issues - the short light cycle for cars turning out and then other lights on the main road means that traffic is often backed up meaning traffic can't turn out (it is ok if everyone wants to turn left but one right turner and the queue doesn't move) I know that I have to leave for work by 7.45 if I want to avoid the traffic.
We do get a lot of foot traffic, but I am at the bottom of a cul-de-sac so this is not a major issue for us.
Rubbish - we do get some in the garden that has blown over the fence.
The last house was near a primary school - the school was on a crescent and our road was down the side of the school. Parents were just dicks with parking - not so much over drives but on the corner of roads making turning in really difficult.
No school will be the same, so I agree with others that it may be worth visiting at school times to get a better idea. What you don't do is buy the house, then a few years later when the school is seeking planning permission to build extra facilities is moan about the school and declare it should be knocked down and moved elsewhere because a school shouldn't be near houses. (Yes someone a little down from the school gates did write this in their objection letter)