There is not equivalent in the Civil Guard or in the Spanish Navy Marines; in both cases the top rank is Lieutenant general.
The General of the Air insignia consist in a baton crossed over a saber under a Royal Crown and a star in every angles that form the crossed baton and the saber.
Being appointed Chief of the Defence Staff means the automatically promotion to the rank of General of the Air.
The same happens with the Chief of Staff of the Air and Space Force with the exception if the official appointed has the rank of divisional general, in that case, the official needs to be promoted first to Lieutenant general.
[1] As of July 2024, there are the 11 Generals of the Air alive, these are: The most recent Air General to die was Santiago Valderas Cañestro on 12 January 2019, who served as Chief of the Defence Staff from 1996 to 2000.