There is a way how to access server list in the demo version.
To replicate (watch video or follow steps):
-Play demo world, -Open to lan (creative, cheats on), - Open chat, - Type /kick Player and press enter, - Click back to server list.
Video example HERE
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We're tracking this issue in MC-138478, so this ticket is being resolved and linked as a duplicate.
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I already had bought minecraft under a different account. I just sign out and signed in with a different account. The .minecraft files where left on my pc.