  We present a comprehensive analysis of the spacetime structure and
thermodynamics of $(1+1)-$dimensional black holes in a noncommutative
framework. It is shown that a wider variety of solutions are possible than the
commutative case considered previously in the literature. As expected, the
introduction of a minimal length $\sqrt{\theta}$ cures singularity pathologies
that plague the standard two-dimensional general relativistic case, where the
latter solution is recovered at large length scales. Depending on the choice of
input parameters (black hole mass $M$, cosmological constant $\Lambda$,
etc...), black hole solutions with zero, up to six, horizons are possible. The
associated thermodynamics allows for the either complete evaporation, or the
production of black hole remnants.
