Thin liquid films are important in applications involving lubrication or coating, which arise in both biological and industrial contexts. Recent experiments have uncovered new phenomena that present challenges of modeling, analysis and simulation. These include new wave forms, fingering instabilities, and a variety of driving and control mechanisms. Mathematically the class of problems is interesting because surface tension dominates inertia, leading to fourth order nonlinear parabolic partial differential equations. This talk will include recent developments and open problems in theoretical, experimental and applied aspects of thin liquid films.