How does one read aloud a birth year with no death year? Eg: John Smith (1994 – )

Solution 1:

Obligatory "I am not a radio broadcaster" (but I am a native American English speaker)

In all cases, when describing human life spans, I've read and heard this phrase read as:

"Nineteen-ninety-four to present" (or "the present" or "the present day").

Other common options include:

"Born in 1994, currently living"

or

"Born in 1994, not yet deceased"

I would go with the option in bold if I were reading something aloud. Another really common option is simply not to say anything about the death year, implicitly stating that a death has not occurred.