  We report on a new topological vortex solution in U(1)$\times$U(1)
Maxwell-Chern-Simons theory. The existence of the vortex is envisaged by
analytical means, and a numerical solution is obtained by integrating the
equations of motion. These vortices have a long-range force because one of the
U(1)s remains unbroken in the infrared, which is guarded by the Coleman-Hill
theorem. The sum of the winding numbers of an ensemble of vortices has to
vanish; otherwise the system would have a logarithmically divergent energy. In
turn, these vortices exhibit classical confinement. We investigate the rich
parameter space of the solutions, and show that one recovers the
Abrikosov-Nielsen-Olesen, U(1) Maxwell-Chern-Simons, U(1) pure Chern-Simons and
global vortices as various limiting cases. Unlike these limiting cases, the
higher winding solutions of our vortices carry non-integer charges under the
broken U(1). This is the first vortex solution exhibiting such behavior.
