Wherever music is recorded- singers are needed. Recording Studios vary in size and sophistication from major record labels to small home studios. Virtually every city and suburb has multiple recording studios. If these studios are in business- they are making money- and in the process they are recording vocals.
In the studio, you would likely be hired to sing lead vocal on an original song, and there may be a need to record a vocal for a band demo. Be mindful that background vocals are in demand as well . At one time three or more singers would be hired, but with today’s economy it’s more common for one singer to sing all of the background parts.
Do not overlook home based recording studios. These may be difficult to find as they are not typically advertised. You may find these “hidden studios” by talking to local musicians. You may also search craigslist or other internet listings of studios.
Versatility is always an advantage to a recording singer. Some assignments require a comedic approach, perhaps a Bronx accent, or a foreign language. There is also a demand for sound alike singers such as Elvis Presley, Barbara Streisand or Beyonce.
In short, there are many options to gain recording studio work, it just takes some networking and leg work on the part of the singer.