  Although the LHC experiments have searched for and excluded many proposed new
particles up to masses close to 1 TeV, there are many scenarios that are
difficult to address at a hadron collider. This talk will review a number of
these scenarios and present the expectations for searches at an
electron-positron collider such as the International Linear Collider. The cases
discussed include SUSY in strongly or moderately compressed models, heavy
neutrinos, heavy vector bosons coupling to the s-channel in $e^+e^-$
annihilation, and new scalars.
