I use Google, but I just realized I hadn't actually tried Bing for a while. So I brainstormed a list of searches, opened up a couple of new tabs, and did a side-by-side comparison.
"sony smp android app" (since a friend of mine is looking at different streaming media players, but wants to be able to use his phone as a remote)
Google barely wins, since the first result was an app in the Play store, while Bing had that as the second result and the product page for the Sony SMP as the first.
Google barely wins again. The biographical info to the right of the search results is similar, with each providing some info the other doesn't (Bing lists his height, while Google lists his salary and time in the 40 yard dash). Google has an edge here by placing links to images of Colin Kaepernick in the bio area, while Bing just includes images that match "kaepernick" in the search results. I also give Google a slight edge in search results since it lists news articles first, followed by his Wikipedia page, while Bing lists the Wikipedia page first and the news links four results down the page.
Nearly identical results, though I'm giving it to Bing since the info section to the right of the results is slightly more detailed, and includes a "People also search for" section which could be helpful.
Google wins, no contest. Bing's info section to the right of the results was exclusively about the 2008 movie, and most of the search results dealt with the movies or the comic book character. While Google's search results were similar, they also included results dealing with the Ironman Triathlon, and the info section to the right of the results allows you to specify whether you're looking for information about the comic book character, the 2008 movie, the upcoming Iron Man 3, or the Ironman Triathlon. Google is much more useful here in finding the info I want, regardless of which "iron man" I might be referring to.
"best search engine"
I'm giving this to Google because Bing annoyed me. While the search results themselves were quite similar, Bing displayed a large pop-up next to the search bar saying "It's Bing vs. Google!
In blind tests, people preferred Bing to Google for the web's top searches. Don't believe it? Take the Challenge." Two problems here. First, I'm already using Bing, so what's the point of this? Second, if I'm searching for reviews and comparisons of the different search engines, I don't want any bias on whatever search engine I'm using. Even though the results weren't affected, the pop-up might introduce bias in me that would affect the way I approach those results. Which it did, in this case against Bing.
So... I'm sticking with Google. Bing is a lot better than it used to be, but it's still no Google.