She went outside and 'hailed a taxi'. [=waved or called for a taxi to pull over and stop]
The pilot 'taxied' the plane out to the runway.
We caught/took/got a 'taxi' to the restaurant.
(..) My shoulder boards are in the top dresser drawer. Get them, son. The epaulets with the silver oak leaf. Are these the... Good. Taxi come yet? Colonel, where are we going? Where are we going? Freak show central. -Where's that? -New York City. (..)1992 Scent of a Woman
(..) Sorry to keep you waiting, sweetheart. I'm not the kind of guy who likes to rush things, but I'm catchin' a at Logan, I'm lookin' out my window, and there's not a taxi in sight. What happened to Chet? He didn't invest in a radio yet? Hah! Well, get your driver on it. Tell him to get a move on. (..)1992 Scent of a Woman