There is actually a plurality of tartans named "Isle of Skye."

No. 385 is a blue tartan woven by Edinburgh Woolen Mill as early as 1984.

No. 5324 is a dress dance version woven by Dalgliesh.

No. 5328 is a red dress dance version from the same weaver.

No. 5331 is called Eral of Skye dress blue, and appears to be another dance tartan.

No. 5332 is just called Skye and appears to be related to 385 (I think Alex Beaton has a kilt in this tartan -- see this photo).

No. 6091 is the one Ron mentions.

No. 2155 is the one we are all familiar with, designed in 1992 by Angus MacLeod, a weaver from Lewis. He won a contest instigated by Rosemary Samios, who now controls production rights of this very popular tartan (STA notes Lochcarron and Marton Mills as liscenced suppliers).