What countries hold NO elections, not even sham elections?

[Middle-aged Europe]

Similar to Brunai, the members of Qatar's "legislature" are solely appointed by the monarch.

In the United Arab Emirates, half of the legislature is directly appointed by the emirs, while the other half is elected by an electoral college whose members are appointed too.

The Vatican only holds elections when their head honcho dies or (very rarely) abdicates, but even then the franchise is limited to at most 120 men who were appointed by the previous Popes. And they don't have any elected legislature there either.

Palestine hasn't had an election above the local level since 2006, even though the "current" presidential and parliamentary terms have long been expired.

[Middle-aged Europe]

China's national legislature is formally elected by the legislatures of the provinces which in turn are elected by the legislatures which come below that. The only direct elections in China are the most local ones.

[Middle-aged Europe]

DPRK?

They're holding sham elections of the "you're voting for us or we're gonna kill you" kind:

https://en.wikipedia.org/wiki/2014_North_Korean_parliamentary_election

The next one is in fact scheduled for March 10 this year.