BERNARDO BERTOLUCCI's The Last Emperor, a visual extravaganza about Emperor Pu Yi, the last ruler of the Qing dynasty, will be shown on the National Air and Space Museum's giant IMAX screen Wednesday at 8. Bertolucci shot "Emperor" in the Forbidden City -- the palace where Pu Yin was forced to reside as a puppet ruler. Made in cooperation with the People's Republic of China, the film employs some 60 characters and 19,000 extras. Admission to the Smithsonian Resident Associates showing is $7 for nonmembers. The film opens commercially December 18. Call 357-3030 for further details.

The American Film Institute's recurring preview/review series, which premieres upcoming films or worthy ones that got away, will show Alain Tanner's 1985 No Man's Land, an updated film noir about a group of money schemers operating between France and Switzerland. Showtimes are 6:30 Friday and 5:30 Saturday. And on 6:30 Sunday and 8:45 Monday, the series will also show the 1986 Touch and Go, a Robert ("F/X") Mandel film starring Michael Keaton as a pro hockey player who befriends an unwed mother and child. Coming up in preview/review are Alan Parker's Birdy (Dec. 13-14) and Terry Gilliam's Brazil (Dec. 16-17). Tickets are $4.50 for nonmembers. Call 785-4600.

Saturday at 2, the Andrei Tarkovsky film series continues at the National Gallery of Art's East Building auditorium with his 1975 The Mirror, an enigmatic mix of dreamlike images in color and black and white. Admission is free.

The Seven Per Cent Solution, Nicholas Meyer's what-if Sherlock Holmes story, sends a cocaine-addicted Holmes (Nicol Williamson) to Vienna, where a young Sigmund Freud (Alan Arkin) works on his problem. The lively cast includes Vanessa Redgrave and Robert Duvall as Watson. The Library of Congress will show "Solution" at the Mary Pickford Theater Friday at 7:30. And next week, you'll be able to compare two interpretations of a legend. On Tuesday (7:30), the theater will show Buffalo Bill, William Wellman's 1944 Technicolor film with Joel McCrea as William Frederick Cody; and on Wednesday (7:30), it's Robert Altman's 1976 Buffalo Bill and the Indians, with Paul Newman in the title role. Incidentally Alan (Choose Me, Made in Heaven) Rudolph cowrote this with Altman; the screenplay, in turn, was suggested by Arthur Kopit's play, Indians. Thursday, in a weird double bill, it's video artist Skip Blumberg's A Personal History of the American Theater, a 28-minute rambling by comic raconteur Spalding Gray, followed by Cyrano de Bergerac -- Stanley Kramer's 1950 predecessor to Steve Martin's Roxanne. Jose' Ferrer won the Oscar as the guy with the big nose. Call 287-5677 for reservations.

Monday, d.c. space's "I Am Eye" film series will show Nick Zedd's Police State, starring Rockets Red Glare and Nick Zedd; as well as Richard Kerns' Submit to Me Part 2, starring Lydia Lunch (and Nick Zedd!). Zedd and Kerns present the films. Admission is $3; showtimes at 8 and 11:30. Call 667-6498 . . . At the same time, for free, at the American University's Mark Wechsler Theater, it's Alain Resnais' Hiroshima Mon Amour, followed by Night and Fog; and, on Tuesday, Ingmar Bergman's Autumn Sonata at 8:10. Call 885-2040.