  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 the light Higgsino, the \stau~ slepton in the coannihilation
region relevant to dark matter, as well as other SUSY signatures. he studies
are based on the ILD concept at the ILC.
