You should find out how old the house is. It could still be under HomeBond if less than 10 years old. Find out who the builder was also and see if he was a reputable builder. If there are a lot of For Sale signs in the area, wonder why.
You want to check wiring and plumbing are okay, which is more of an issue of the house is older. Windows could also be checked but again, more of an issue for an older house.
You can physically look yourself for evidence of must and damp.
Find out how old the burner is if it's oil + any other appliances that require changing, you need to tot up the overall cost of your purchase.
It's a good idea to go to view a house after a lot of rain, you can see evidence of poor drainage in a garden then.
Find out if the house is on mains water + sewerage or private well / sceptic tank.
If you have green fields around you, you need to know who owns them and check the internet yourself to see if there are any Planning Permissions submitted or enquire with the Council if Planning will ever be allowed on that site. As redo said, you want to check for new developments in the area. Will it affect you in any way if there are more develoments?
You want to know what size plot the house is on and presuming it's not in an estate, if there are any Rights of Way etc.
You want to know about your neighbours but the EA can't really help you there other than to tell you if it's mainly a residential area or if a lot of teh houses are rented out. The best thing you can do is to drive by the house at different times of the day, after kids get home from school, night time, weekends etc.