"included on a list" is correct and usable in written English.
It is used to describe something, usually a name, that is a part of a list. For example: His name was included on the list of speakers at the conference.
The St. Johns was named one of 14 American Heritage Rivers in 1998 but was included on a list of America's Ten Most Endangered Rivers in 2008.
In 2011 you were included on a list of self-made female billionaires.
And three were not included on a list released by the county in response to a public records request.
In fact they don't like foreign words generally, outside those deemed "sufficiently common or functional" to be included on a list in chapter eight.
National City sealed its deal Friday after learning it was not included on a list of 22 banks slated to receive capital injections from the government.
Tarrytown was holding a townwide tag sale and for $20, you could have your house included on a list and map.
It was included on a list on slide from a session titled "Microsoft Edge: what's next for Microsoft's new browser and web platform".
A Hampstead mansion he bought with £2.2m in cash, as well as a home in Dorset, were included on a list of assets prosecutors want to confiscate.
But his name was included on a list of senior U.S. officials who met with Obama for a military briefing over the Memorial Day weekend.
Earlier this month he was included on a list of 30 pro-Brexit MPs said to be facing the threat of deselection.
As the Wall Street Journal first reported, Johnson's name was included on a list of 5,411 people who renounced their U.S. citizenship during 2016.
