I'm a very techy guy, but my knowledge of audio equipment is rather limited. I currently have
some very boring cheap speakers that I've been using for a while, and while they've been quite good for their cost I finally have a modest budget to get something more substantial. I'm thinking like $100-250, but that's flexible for a true gem. In various searches for things like "best speakers for the money may 2017" I've turned up a lot of lists with a wide variety of recommendations. Many I feel are not well maintained lists, and the only speakers that are repeated between them seem to stand out for reasons other than what I'm looking for.
I am a constant gamer, and listen to a lot of music. I also sometimes watch movies or TV on my computer, though that's fairly rare and not really worth being a priority. I'm looking for something that will have a good big sound; if someone's sleeping in the next room I should be able to wake them up.
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In my searches I found some highly recommended speakers that are rated well on things like fantastic accuracy of sound, and while I really appreciate that, I wonder if that means it won't have the bassy power I'm thinking of. Not that I'd want to sacrifice accuracy for bass, or at least not much. Many also seemed to not include a subwoofer, which makes me wary (perhaps my lack of audio equipment knowledge is showing here), even when they're more expensive.
What sorts of speakers should I be looking at? Are there quality computer speakers without a separate subwoofer?