A brief review will be given about the state of the art of Quantum Monte Carlo (QMC) simulations in solid state physics. Particularly in this field, QMC has become very popular during the last couple of years due to the growing interest in reliable results for strongly correlated electronic systems. It will be demonstrated how QMC schemes cope with typical many many-body problems. Representative applications will be discussed. Present algorithms suffer, however, from various problems, restricting the practicableness of QMC. An exposition of the difficulties will be given which have to be overcome to make QMC studies applicable to a much wider range of physical problems.