For a secondary school, All Saints, (which is a catholic school near Town)
Maybe Fulwood, wisewood, firth park, Myrtle springs (which are all Non-Catholic) are quite good aswell.
For primary schools there is St Patricks (having going there myself as a child) which is also catholic
There is also Gleadless Valley school, Hatfield, norfolk park school and mansell primary school (which are more or less in the sheffield 5-16 area.
Hope i have helped you.