Some incorrect statements here, as 460 points out.
Annex 1 is something else.
Annex 2 defines what isn't administered by EASA. This includes all amateur built aeroplanes, research aircraft, current and ex military aircraft, microlights, as well as aircraft built in small numbers and of national importance
So yes, most (possibly all?) of the LAA fleet are Annex 2, .definitely all of the BMAA fleet, all the warbirds administered by the CAA, but also Concorde if it were still flying, the BAe-146-301 that gets notammed as Metman1, anything flying on E-conditions. ..
If in doubt, look it up on G-INFO. If the magic phrase "non-EASA ", appears, it's Annex 2.
G