A Higgs-like particle with a mass of about 125.5 GeV has been discovered at the LHC. Within the current experimental uncertainties, this new state is compatible with both the predictions for the Standard Model (SM) Higgs boson and with the Higgs sector in the Minimal Supersymmetric Standard Model (MSSM). We propose new low-energy MSSM benchmark scenarios that, over a wide parameter range, are compatible with the mass and production rates of the observed signal. These scenarios also exhibit interesting phenomenology for the MSSM Higgs sector. We propose a slightly updated version of the well-known scenario, and a modified scenario ( ), where the light -even Higgs boson can be interpreted as the LHC signal in large parts of the M A –tan β plane. Furthermore, we define a light stop scenario that leads to a suppression of the lightest -even Higgs gluon fusion rate, and a light stau scenario with an enhanced decay rate of h → γγ at large tan β . We also suggest a τ - phobic Higgs scenario in which the lightest Higgs can have suppressed couplings to down-type fermions. We propose to supplement the specified value of the μ  parameter in some of these scenarios with additional values of both signs. This has a significant impact on the interpretation of searches for the non-SM-like MSSM Higgs bosons. We also discuss the sensitivity of the searches to heavy Higgs decays into light charginos and neutralinos, and to decays of the form H → hh . Finally, in addition to all the other scenarios where the lightest -even Higgs is interpreted as the LHC signal, we propose a low - M H scenario, where instead the heavy -even Higgs boson corresponds to the new state around 125.5 GeV.