You asked this in the UK section.
New houses come with a guarantee so if there are problems it should be covered.
One major problem many owners have is shrinkage of plasterwork, the other is the pavements/roads either not being finished or adopted by the local authority prior to moving in.
Your home should be inspected and a snagging list detailing all faults by the company prior to you getting the keys but there is nothing to prevent you from completing your own.
Get an expert to carry it out for you if you dont know what to look out for some are simple things like making sure windows fit/dont hit guttering when opened and have keys for the locks to other more complicated matters that you would miss if you are not trained to look out for.
Normally refered to as snagging services, they do charge or you pay for a downloadable form so you do it yourself.
There are two main categories of complaint.
Poor finish
Poor skills
Dont check one door you have to check them all and every window you have to open it close it etc look at the handles locks and paintwork.
In the kitchen are all the cupboard doors on the right way and do all the electric sockets work if it comes with white goods do you have all the manuals.
I could go on but there are lots of snagging problems, every house is different so its important to check everything.
Another good point to make it when you hand in the list of repairs if you have not been contacted with a reasonable length of time for them to come and rectify the problems go into the sales office when they have clients and make a fuss.