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).
Best Answer
I recommend Principles of Physics by David Halliday, Robert Resnick and Jearl Walker. Its a wonderful book for learning the fundamentals of physics (even though its calculus based). It covers topics (from measurements to big bang) in a well oriented manner and each chapter contains a collection of very good problems to work on with, which will really give you an insight into the practical way of physics (or seeing the world through physics type stuff).
The topics the book covers can be seen here. I should mention here that more the (good) books you read, the better it will be.