If liquid crystals represent a bridge from the solid state of matter to the liquid state. Is there a bridge between the liquid state and the gaseous state of matter?
A liquid crystal is not exactly a bridge between solid and liquid states.
Actually, there is an ambiguity defining the two states. If one defines a solid by crystalline long range order (static, structure), liquid crystals are on the solid side. Instead, if one makes the distinction by viscosity or a (relatively arbitrary) relaxation time (dynamics), liquid cystals are liquid. Conversely, glasses are liquid or solid, repectively.
The common distinction between solid and liquid states is the dynamic definition. Then, glasses are "solid" and liquid crystals are ... "liquid"!
In theory, instead, glasses are studied within the formalism of liquid theory because presence or absence of periodicity induces important differences.
Beyond a critical point, a fluid shares properties of liquids (e.g. high density) and gases (absence of free surface).
There are other common intermediate states, like gels, emulsions, plymer melts, ...