Re:Tibetans - Navajo (Score 1)

There's also some fun circumstantial and anecdotal evidence that one of the Kham plateau dialects of Tibetan is possibly related to Navajo.

There have been attempts to connect the Athabaskan languages (well, the larger Na-Dene family of which Athabaskan is a branch) to Sino-Tibetan languages. Actually, it's a broader proposal, called Dene-Caucasian that also includes the North Caucasian languages, Basque, and assorted other families and isolates... The overwhelming majority of linguists reject this proposal as unsubstantiated and really wish people (esp. non-specialists) would stop talking about it.

That being said, this year there has been work demonstrating a link between Na-Dene and an Old World language family: the Yeniseian languages of Siberia. It's too soon to call Dene-Yeniseian a generally recognized language family, but the reaction from historical linguists has been generally positive. The Wikipedia article has a link to Vajda's paper so you can check it out for yourselves. This is arguably the biggest news in historical linguistics in years.