Bing’s video search is significantly better than Google’s, giving you a grid of large thumbnails that you can click on to play or preview if you hover over them.
Bing often gives twice as many autocomplete suggestions than Google does.
Bing can predict when airfares are about to go up or down if you’re searching for flights.
Bing also has a feature where if you type linkfromdomain:[site name] it will highlight the best ranked outgoing links from that site, helping you figure out which other sites your chosen site links to the most.
Also note that Bing powers Yahoo’s search engine.
DuckDuckGo
The key feature of DuckDuckGo is that it doesn’t retain its users’ data, so it won’t track you or manipulate results based on your behaviour. So if you’re particularly spooked by Google’s all-seeing, all-knowing eye, this might be the one for you.