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.
(..) - Yeah. We all work together here full-time, day and night. If you would step over there, I'm sure the gentleman will sign you up. I drive a taxi at night, so it's hard for me... to work in the day. Then what exactly do you want? Would you like to come have some coffee and pie with me? Why? (..)1976 Taxi Driver
(..) - Notice anything? - No. - Put your glasses on. - Okay. Just a minute. - All right. - That taxi driver's been staring at us. - What taxi driver? - That one. The one that's sitting there. - How long has he been there? - I don't know, but it feels like a long time. - Does he bother you? (..)1976 Taxi Driver