For me, the style of house (ie terraced, semi or whatever) is far less important than the location and amenities.
I also think that preferences vary over the course of our lives. We've been in our house for over 20 years, and the children were young when we moved in. A garden was on our wishlist then, but it would be less of a dealbreaker now, for instance.
I prefer to live in a road rather than on an estate of similar houses, and being close to shops and restaurants (those were the days!) is also important to me - I once lived in a village with one shop half a mile away, and I hated having to use the car to get anything they didn't sell, or to go to the bank, PO etc. Now I really like being within walking distance of things.
We live quite near a school, which was important at one time, but now it is less so, and can be quite noisy when the children are going home.