The ANtarctic Impulsive Transient Antenna (ANITA) is a long-duration balloon payload funded by NASA, with an array of radio antennas. ANITA scans the Antarctic ice looking for Askaryan radio emission coming from ultra-high-energy (>E18 eV) neutrinos interactions. Extensive air showers coming from ultra-high-energy cosmic rays and hadronic showers from tau neutrinos can also be detected by ANITA via geomagnetic radio emission. ANITA currently has the best limit on cosmogenic neutrinos above E19 eV. I will present an overview of the ANITA experiment, the latest cosmogenic neutrino search during the third flight, and two anomalous events found in our cosmic ray analysis, which cannot currently be explained with Standard Model physics.