The first season of the FX network series will compete for best drama, the top Emmy trophy, with the final instalment of Netflix's royal saga The Crown, among others.
Another FX show, nail-biting restaurant tale The Bear, earned 23 nominations, a record for a comedy.
It will compete again for best comedy, a category it won at the last Emmys.
Other comedy nominees included Abbott Elementary, set in an underfunded Philadelphia school, and Hacks about a septuagenarian comedienne and a millennial writer.
Netflix's Baby Reindeer, the story of a bartender stalked by a customer, was nominated for best limited series, one of its 11 nods.
Creator and star Richard Gadd has said the tale reflects a true story although a defamation lawsuit argues its portrayal of the stalker is exaggerated.
Winners of the Emmys, the highest honours in US television, will be announced at a red-carpet ceremony broadcast live on Walt Disney's ABC on September 15.
The last Emmys were held just six months ago, in January, when strikes by Hollywood writers and actors prompted a delay in last year's ceremony.
Shogun, set in the year 1600 with dialogue in English and Japanese, is a remake of a 1980 TV miniseries.
Both are based on a 1975 novel by James Clavell.
Five Shogun actors were nominated for their performances.
They included Japanese actors Hiroyuki Sanada and Anna Sawai in the lead drama actor and actress categories.
Other acting nominees include The Bear stars Jeremy Allen White and Ayo Edebiri, two previous winners, who will compete for best comedy actor and actress.
24°C