With the discoveries of other planetary systems around other stars, I was wondering if any of the parent stars are bright enough to see naked eye?

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"It's time to receive our missions from The Head."

One recent example is

transiting exoplanet

while not naked eye, is easy binocular star.

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"I'm as accurate as any psychic. And I'm a cartoon!" -- Squidward

"Arrrgh, the laws of physics be a harsh mistress!" -- Bender

Quite a few.
Fomalhaut, magnitude 1.1, has a suspected planet disturbing its circumstellar disc. Of those stars with planetary orbits derived from radial velocity measurements, the brightest is Gamma Cephei, magnitude 3.2, followed by Epsilon Eridani, 3.7. Exoplanet stars with magnitudes greater than 5 are: Upsilon Andromedae, Epsilon Reticuli, Tau Bootis, 70 Virginis.
With a good dark sky you would be able to see down to magnitude six, and pick out several more.

Grant Hutchison

There are a few parent stars to exo-planets visible in the southern hemosphere as well. But I couldn't tell you which ones they are.

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