I have a book called Conceptual Physics by Paul Hewitt, and it's unclear in some spots, and not as conceptual as you'd hope it to be (doesn't explain where equations come from very well). I've been reading through it, and I got really stuck with its explanation of rotational motion.
However, I'm not ready for something like Arnold or Landau. While I know some calculus, I'd like to learn these concepts first without the calculus, like you would in a highschool physics course. The book also should have plenty of good problems (which rules out something like Feynman's lectures) and be at a reasonable level.
My current book covers: mechanics, properties of matter, heat, electromagnetism, nuclear physics/atomic physics, and relativity (all at a basic level, obviously).