How do I sell a house without a realtor?

Many of you know me and are aware I am English. My wife and I bought our first house here about 10 years ago and want to move on. Is there a practical way we can sell the house without a realtor?

When I was a boy and my Mum sold her house in England she just put an ad in the local paper, got an offer, went to the bank and the deal was done. No ridiculous realtor fees.

Possible here?

I appreciate any advice you can provide.

Geoff