Our wants were as much about location as about the house. We wanted to have shops/supermarkets and public transport in easy walking distance (I'd much rather walk than drive). We also wanted a quietish location off a main road, a back garden and (if possible) off-road parking.
Housewise, we wanted four bedrooms (including a guest bedroom/snoratorium for my husband), a utility room and an office because my DH works from home. No oil-heating.
I have to say that what we ended up with pretty much everything we wanted. Four bedrooms, office, storage room, utility room, dining room, living room, kitchen, downstairs toilet, upstairs bathroom, really roomy attic that could be converted into another bedroom, all next to two supermarkets (rather genteel, small ones), a bakery, two hairdressers, a stationers, a café specialising in ice cream, a Turkish kebap shop, a twice weekly market, a key-cutting place, a bank, a travel agent, a photo place, a chicken grill, an orthopedic supply shop and a crèpe/baguette shop. I love living here. In Britain, I had to drive for absolutely everything. Here, most of everything is no more than a minute's walk away. There's a bus stop. The tram is about 6 minutes away. And yet there's a nice park and we have a back garden.
The house did have oil heating when we moved in, but we had that removed and a gas boiler put in its place. Suddenly, there was an extra room once the oil tanks were gone.
There's no way we would have been able to afford this place in Britain. It's twice the size and half what we paid for our old place in Reading.