looking for nice bars, spots for drinks heading west on 23rd St.
If you can go a little bit south, I'd stop in at the Flatiron Lounge. Rye House is another option -- much more casual/lively. There's also Raines Law Room, which I've not been to but heard good things about. Maybe the bar at Eleven Madison Park if you're dressed up a little bit.
Eleven Madison Park
11 Madison Ave., New York, NY 10010
37 W 19th St, New York, NY 10011
Raines Law Room
48 W 17th St, New York, NY 10011
11 W 17th St, New York, NY 10011