Walking into Bemelmans Bar in The Carlyle, A Rosewood Hotel on Manhattan’s Upper East Side, is like taking a stroll through times gone by. It retains the ambiance of Big Apple bars of the 1940s and 1950s. Servers in white jackets and bow ties, live jazz piano, and superb martinis are fixtures that have stood the test of time. But the New Yorkbar isn't out of touch (though the prices might be for some). The bar is named for Ludwig Bemelmans, author of the children’s book series “Madeline,” and Bemelmans’ paintings deck the walls of this sophisticated room, which also features comfortable leather banquettes. Order one of the double-size martinis, served in a classic martini glass with a dividend on the side that remains chilled on crushed ice until ready to drink. The latest offering by head bartender Luis Serrano is the Agave Gingerita with Casamigos tequila, which pairs nicely with the bar’s food menu; the emphasis is on shareable plates, like sliders, and Mediterranean spreads.