Physical systems are characterized by several energy scales. Effective field theories explore a separation of scales in order to describe low-energy phenomena, using the ratios of small-to-large scales as controlled expansion parameters, even if no small coupling constants exist. Particularly interesting are systems ---such as nucleons or 4He atoms--- where two particles form a (real or virtual) bound state ---such as the deuteron or the 4He dimer--- that is much larger than the range of the interaction. In this case the three-body system presents remarkable universal properties, such as various correlations among (three-particle) binding energies and scattering observables. We discuss the surprising properties of effective field theories applicable to this class of systems, in particular the limit-cycle behavior of three-body forces.