I already mentioned Tool, my favourite band, for me, they are vastly superior to Radiohead in every way.
For a start there is no painful hipster element to Tool, I mean Danny Carey goes on stage in basketball uniforms! They are all about the art that they produce rather than an image or style that pertains to any sort of fashion.
Secondly I am stunned by the consideration and effort that they put into the creation of their music. Lateralus( the song), for example, is an incredible piece of music. They incorporate the Fibonacci sequence in the the rhythmic structure of the song, as it reflects the lyrical themes, it is quite a piece of work.
All Tool songs have a great depth both musically and lyrically, there is never anything lazy about anything that they do.
Personally I think that one of Maynard's greatest pieces is 'Wings for Marie Part 2' It is his tribute to his mother who passed around the time that they were writing the '10000 Days' album. Maynard's mother suffered a stoke when he was a child and was left paralysed from the neck down, she lived for 10000 days or 30 years in that state before she died. His mother was always religious but after the stroke she became devout, interpreting the stoke as a test from God. Although Maynard's mother was his hero, her faith was a source of conflict between them, Maynard (surely an atheist) could not come to terms with her 'test', interpreting it as cruel and unusual and surely not the act of her saviour. He wrote a few songs about her: Judith and The Patient being two. 'Wings for Marie' is his ode to his deceased mother, him coming to terms with her faith and him imagining her ascent into the kingdom she had been waiting for.
It is all delivered in a way that only Tool could attempt, there are shifting rhythms, it is abstract, at the least and you have to read the lyrics to be able to appreciate the song.
I could go on and on about Tool. The good news is that they are recording a new album right now, however, there is no release date as it will not be released unless it is good enough.