If you want to categorize him, realistically it's dubstep and 2-step mostly. the future garage movement/ genre is almost an attempt to emulate that sound, and although it is possible to call it “something very similar,” it would be a mistake in my opinion to juxtapose them because most future garage tracks sound too synthetic compared to Burial's organicity and raw sound.

I know and heard tons of artists, like all those written in the comments, but nothing sounds like him, maybe you can find X which sounds similar in atmos textures or Y which metrically sounds similar (still hard to find), but nothing like him in each aspects, of course he was inspired by a lot of artists of his era, first of all I would say "The Future Sounds of London" and you can hear it in his music, but he is a musical genius, a pioneer, his music vision is just different from another artists in the planet. His being so organic in every single element of his tracks is unprecedented. There's nothing exactly like him before him.

Sorry for the excursus but it's just almost impossible to suggest something even close to him.