I think the Deluxe Trades actually have the Mark Waid Adam Strange story from the original run of the floppy single issues.
The Deluxe Hardcovers don't but I think it has the Frank Quitely Earth 2 Book as well as the short run on JLA Classified. I don't know if the OHC/Deluxe editions are hard to find or not. Being Morrison and the Justice League, my guess is that they should be available?