This is a very readable textbook that includes some philosophical discussions.

Petit, Jean-Pierre, Euclid Rules OK? The Adventures of Archibald Higgins , London: John Murray, 1982.

A pictoral, visual tour of non-Euclidean geometries.

Millman, Richard S., and George D. Parker, Geometry: A Metric Approach with Models , New York: Springer-Verlag, 1981.

A modern formal axiomatic approach.

Nikulin, V.V., and I.R. Shafarevich, Geometries and Groups , Berlin: Springer-Verlag, 1987.

Using transformation groups to study spherical, hyperbolic, and toroidal geometries.

Schwerdtfeger, Hans, Geometry of Complex Numbers: Circle Geometry, Moebius Transformation, Non-Euclidean Geometry , New York: Dover Publications, Inc., 1979.

Ryan, Patrick J., Euclidean and Non-Euclidean Geometry: An Analytic
Approach , Cambridge: Cambridge University Press, 1986.