(Niji no Tenkū Gādian Houou)
Ho-oh's effects are designed off of a standard set for it (Brave Bird/Earthquake, Sacred Fire), coupled with its Regenerator ability. First effect is Earthquake, since in-game, it's a spread move. Second effect is Sacred Fire to an extent. Last effect is its HA ability which restores HP/LP when it switches; though in this case, it's adapted for the End Phase.
Lugia's one is designed on Aeroblast and Multiscale. You might remember that Number card I made of Lugia a couple months ago. It's a WATER monster because it's more or less associated with the ocean rather than the sky, though it is treated as a WIND monster due to its Flying type (hopefully you know why its Type is Psychic). First effect is Multiscale, which is adapted to cut any damage you take that turn if Lugia is attacked [whether it's battle damage or burn]. Second effect is Aeroblast (though it is somewhat limited to dealing with smaller monsters; not with the usual bosses running around). Final effect switches it to Defense Position after it strikes; while 2700 is respectable enough to dent stuff on its own, as mentioned, usual bosses have 2800-3000 and would love nothing more than to pick on it. Also reflects how Lugia is used as a tank Pokemon most of the time (especially considering its 106/130/154 defenses).
Ho-oh and Lugia both share a common 154 special defense; however Ho-oh is designed more aggressively considering its base 130 atk/110 sp atk. Lugia is more of a wall type [much like the usual sets in Smogon Ubers]