SICP explores real, interesting programs: a digital circuit simulator, an automatic differentiator, etc., in a sense it explores mathematics and electrical engineering in parallel to computer science and shows a certain unity between all three disciplines, at the cost of requiring more background to understand everything.
CTM explores a lot more programming language concepts than SICP, but the examples and exercises seem to be focused on illustrating those individual concepts in the simplest way possible. I think CTM is ultimately a more down-to-the earth book - you are likely to have more immediate direct use for the things you learn compared to SICP, but it doesn't give you this very high level perspective that SICP does.
I don't think I fully agree with this. CTM is intended for at least sophomore CS students. SICP was intended for a more general engineering audience. That explains some of the links with EE SICP tries to show, whereas CTM concentrates on programming paradigms---some quite exotic.
CTM explores a lot more programming language concepts than SICP, but the examples and exercises seem to be focused on illustrating those individual concepts in the simplest way possible. I think CTM is ultimately a more down-to-the earth book - you are likely to have more immediate direct use for the things you learn compared to SICP, but it doesn't give you this very high level perspective that SICP does.