Plenty of examples!
'
Lies of commission: 
-WMDs, 
-Bana Alabed tweeting, 
-publishing WaPo's made up story about the power grid being hacked.

'
Lies of omission: 
-the illegal status of Israel's Occupation of Palestinian lands,
-the illegal status of militaries acting in Syria other than those invited by the government.

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Lies of construction:
-there is a problem in law enforcement because some cases are classed as 'unfounded';
-the Conservative party could somehow be supported without also supporting Stephen Harper.

'
Assertions without and/or contrary to evidence:
-Russians hacked the DNC
-Russia invaded Ukraine