"A New Beginning", the first episode of The New Adventures of He-Man, featured some nice references to the original Filmation series. We see Snake Mountain's throne room, which whilst different in its presentation, still has the throne partially made of bone. By far the most impressive homage to the original series is the scene that takes place at the Royal Palace. Except for their respective color schemes, King Randor and Queen Marlena are the same as their Filmation counterparts. Not only that, but the design of the throne room itself looks a lot like the one seen in the Filmation series.
(click on the images to see them at full-size)