Which of the following anime of the mecha genre began airing in 1982?

The answer is The Super Dimension Fortress Macross. This anime began airing in 1982 and is considered a classic within the mecha genre due to its significant impact on the genre's evolution. The series showcases a captivating story set in a futuristic world where humanity is engaged in an intergalactic war with alien races. Its combination of intricate mecha designs, intense battles, and compelling characters paved the way for the popularity of mecha anime, making it the obvious choice for the given question.