Crichton is also one of my favorite authors.
I'm gonna buck the trend of the usual novels people (rightly, mind you!) espouse and state that his historical fiction is special to me: they read like Sid Meier's games come to life and as someone who got into his works the same time as I got into history via Civilization II:
-Eaters of the Dead/Thirteen Warrior is basically "de-mythologizing" Beowulf into a crossover with Arab traveller Ibn Fadlan as the Arab ambassador takes a wrong turn and ends up in a Viking war party out to destroy a raiding terror that turns out to heavily be implied to be neanderthals in that typical Crichton sci-fi twist. Civ II had the Vikings as a playable nation, and its very recent expansion pack showed specially-made Viking units and an entire Jihad scenario using the dummied-out Arab civilization in the base game as the scenario's protagonists. Getting into the book at the same time as that expansion pack release really felt like a Civ II game come to life in a great way.
-Timeline came out the same time as the expansion pack above and is about time-traveling back to 14th-century France during the Hundred Years War. It's also a gripping tale, and it has some surprising twists on the adage of "history written by the victors", well as who to trust and distrust (it's uplifting on how a lot of people you expect to be jerks in a dog-eat-dog world decidedly.... aren't), and even a hilariously unintended messages of how being the medieval equivalent of a weeaboo and working the fuck out will save your ass, just in case.
-Pirate Latitudes is basically Sid Meier's Pirates! in Crichton novel form. This is just a fucking great straight-up adventure story set in the Golden Age of Piracy as a colonial Yankee who found himself raised in the Caribbean goes off on a special mission for the Jamaican governor, only to return after harrowing moments with a bloodthirsty Spanish governor and sea monsters to find his ally ursuped by the lieutenant-governor. Funnily, I do remember this novel of all things being the one I realized Crichton would insert scenes obviously meant to be filmed: there's a moment where the usurper's co-conspirator is killed by the protagonist and he theatrically reaches for a goblet while mumbling out loud. But holy heck that is an INCREDIBLY minor gripe, this is an extremely effective action-adventure and that Crichton wrote it makes it all the more thrilling in all the best ways.
I would ask anyone to give these ones a shot. They're historical fiction done right, even with the expected Crichtonian sci-fi additions they get the atmosphere of each era done right with just enough legitimate historical information you find yourself wanting to learn more on the time periods. That's good writing, that.