Many people link bemused with amused, believing that the former word carries the meaning “amused, with a touch of something else.” While this was not its original sense, bemused has been used in such a fashion for long enough, and by enough people, that the meaning “having feelings of wry amusement especially from something that is surprising or perplexing" has become established. You may use bemuse in this fashion if you wish, but bear in mind that some people find it objectionable, insisting that bemused and amused are entirely distinct and that bemused properly means “marked by confusion or bewilderment.” It is worth noting that before bemused indicated confusion it had the meaning (especially among poets) “devoted to the Muses.”
amuse suggests that one's attention is engaged lightly.
amuse yourselves while I make dinner
divert implies distracting attention from worry or routine occupation especially by something funny.
a light comedy to divert the tired businessman
entertain suggests supplying amusement by specially contrived methods.
a magician entertaining children at a party
Example Sentences
It amuses me to think of how he looked when I last saw him. a funny story that never fails to amuse He amused himself with a game of solitaire.
Recent Examples on the WebFloating above the crowd, his face green-screened in, Depp looked like just another star at an awards show, goofing off to amuse the masses. Shirley Li, The Atlantic, 30 Aug. 2022 The Frank corpus, for its part, coheres in one hapless creature’s attempts to amuse himself in between horrifying encounters with monsters that are both unknowable and the building blocks of the world around him. Sam Thielman, The New Yorker, 9 Aug. 2022 Complete with quizzes, fill-in-the-blanks, and mazes, this activity book will amuse her throughout the long nine months. Jamie Kravitz, Woman's Day, 4 Aug. 2022 And now this city that exists to amuse is hosting full houses once again. Tony Perrottet, Travel + Leisure, 24 Apr. 2022 Preteens can amuse themselves in the upstairs games room, while teenagers can play pool or watch movies in the media room on the lower level. Kathy Orton, Washington Post, 17 June 2022 Indulging in the Y2Ks Archive does more than amuse. Cassidy George, Vogue, 2 June 2022 His success on Twitter arose from his capacity to outrage or amuse a global audience of both enemies and acolytes (Arnold Schwarzenegger and Kim Jong Un, as well as your Trumpist cousin across town). Steve Coll, The New Yorker, 5 June 2022 There were no cellphones to amuse us back then, and the darkness prevented us from flirting with cute boys in other cars. Sarah Lyall, New York Times, 21 May 2022 See More
Word History
Etymology
Middle French amuser, from Old French, from a- (from Latin ad-) + muser to muse