Pattern formation through phase separation is a topic of continuous interest to both theorists and experimentalists. For example, the complex morphologies formed by binary, immiscible mixtures are still a topic of extensive study. In this talk, results from two novel systems will be presented. First, using a thermal lattice Boltzmann model, we examine the rich phase behavior that develops when partially miscible fluids evolve in the presence of a vertical temperature gradient, which encompasses the critical temperature of the mixture. Second, we consider a system that couples the growth of a liquid droplet with the phase separation of its partially miscible components. To carry out this study, we first characterize the thermodynamic properties of the system and use this information to model the hydrodynamic behavior of the evolving mixture. Through numerical simulations, we observe intriguing tentacle-like structures within the nucleation and growth region. We derive scaling arguments to characterize the growth of these structures in both the diffusion and viscosity limited growth regimes.