Claim: The first episode of Gunbuster titled "Shock! Big-Sister and I are Going to be Pilots Together?!", originally aired on May 7, 1988, was directed by Hideaki Anno and written by Hiroyuki Yamaga.
Evidence: "Shock! Big-Sister and I are Going to be Pilots Together?!"
Transcription: "Shock! Watashi to Oné-sama ga Pilot!?" (Japanese: ショック!私とお姉様がパイロット!?) 7 October 1988 (1988-10-07)