Hotbot is still around, and applies to this topic well. They use Google as their search engine now but when used it searches from their IP, meaning it doesn't use your IP.
http://www.hotbot.es/en/Yahoo is still around and they even use their own web crawler:
https://search.yahoo.com/Dogpile is still around, but I doubt they do anything but search from Google and Yandex:
http://www.dogpile.com/ Yandex is Russian.
https://yandex.com/Ask Jeeves is still around although they shortened it to Ask.
https://www.ask.com/Topclick is still in the business but they aren't a search engine anymore. They're an Internet marketing company.
https://topclick.com/