I am interested in alternatives to Ziegler's Lectures on Polytopes, which is the suggested textbook for a course I am attending. I find the conversational style of the book jarring.
Other books on Convex Polytopes are: Arne Brondsted, An Introduction to Convex Polytopes, Branko Grünbaum, Convex Polytopes (there is a second edition that updates the 1967 version), A. D. Alexandrov, Convex Polyhedra (translation from Russian of a Russian book from 1950, but with update and notes). They all have their pros/cons. I, at least, think Ziegler's book is excellent.
I think this (Regular Polytopes by Coxeter) would be a good book. I liked his book on geometry. Also the reviews seem to indicate that is is pretty good.
Some of the topics of Ziegler's (excellent) book (e.g. Gale transforms, f-vectors, the secondary polytope, fiber polytopes) are also covered in the "Triangulations" book of De Loera, Rambau and Santos. The treatment is from a slightly different perspective and definitely worth a look. They provide many pictures.
Another alternative (also more from the triangulations perspective) is the book Lectures in Geometric Combinatorics.