Firefoxs omnibar history search is significantly better than chromes; although i imagine that is down to them having no stake in sending google searches which google obviously does
Chrome allows me to do use the built-in search engine of any website supporting it by pressing tab and then typing my search query. In firefox, it seems what I have to do is type my search query than use my mouse to click on the wikipedia icon (or amazon/etc). This also requires me to setup said search engine in firefox preferences. Ain't there anyway I can get that search experience using only the keyboard?
If you don't mind a network round trip, you can also setup DuckDuckGo as your default search engine and use bang commands [1] to do different kinds of searches on many sites.
Then you can just type 'y rick roll' to make a search.
Alternatively, set your default browser to duckduckgo.org and use it's bangs, no need to manually add shortcuts!
The previous example would then be '!y rick roll'.