The Squidward Tentacles Memorial Museum is a museum of Squidward's imagination of what will happen in the future after Squidward, Patrick, and SpongeBob escape the time capsule. It is only seen in the episode "Buried in Time." It remains unknown if it will appear in other episodes.
In appearance, the Squidward Tentacles Memorial Museum is shaped and looks similar to Squidward's house and in Squidward's imagination it replaces the Krusty Krab. The Museum in Squidward's imagination presumably held artifacts about Squidward's life.
In the episode "Buried in Time" after Squidward, SpongeBob, and Patrick become locked in Bikini Bottom's time capsule, SpongeBob and Patrick share their imagination about what the future will be like. When they ask Squidward, he imagines that he'll have a memorial museum named after him which brainwashes him in delight.
When Plankton makes an attempt to steal the Krabby Patty formula, Squidward gets knocked out, and gets shaving cream over his mouth which, makes him think, when he wakes up, that it is a white beard and that it has already been 50 years. Squidward then sees the hole created by Plankton in his attempt, and goes out of the time capsule to the surface. Squidward then is excited until he sees that the Squidward Tentacles Memorial Museum isn't where he thought it was, to his dismay. He retorts, "The future is the same as my old pathetic life! Forget this! I'm waiting another 50 years!" He then leaves back into the time capsule saying, "Wake me up when my life doesn't stink!"