The phrase "a current example is" is correct and usable in written English.
You can use it when introducing a specific instance or illustration that is relevant to the topic being discussed.
Example: "In discussing renewable energy, a current example is the recent advancements in solar panel technology."
Alternatives: "a recent illustration is" or "an up-to-date example is".
A current example is the tendency to react to the evidence of market imperfections by assuming that markets are irrational.
A current example is "Say Ahh! Examining America's Health," which has nothing to do with art but is nonetheless on view at the Hudson River Museum here.
A current example is the oil industry, in which a single firm commonly owns the oil wells, refines the oil, and sells gasoline at roadside stations.
A current example is the very recent reassignment of "Landscape With Cumulus Clouds" (1824-29), long attributed to the Belgian painter Gilles-Francois Joseph Closson, but now given to one Andreas Schelfhout.
A current example is David Hamilton, a distinguished federal district court judge in Indiana who has been nominated to the United States Court of Appeals for the Seventh Circuit in Chicago.
A current example is the underground "dis track" Hail Mary, recorded in response to a verbal attack by Ja Rule (of the rival Murder Inc stable) that's doing the rounds on New York's mix-tape circuit.
A prime current example is a television commercial that replaces Schiller's "Ode to Joy" in the finale of Beethoven's Ninth with the numbing text "Movies, movies, movies, movies, movies, movies, moooo-vies".
A good current example is that it has an ads policy that bans "misleading and deceptive" ads.
A prominent current example is the IRS's "don't ask, don't tell" policy with respect to employee-retained frequent flier miles; in a 2002 announcement (which, as of 2012, is still in force), the IRS indicated that such miles were technically within the scope of the statutory definition of gross income, but that the IRS had no intention of enforcing the law.
In terms of choreography that perfectly maintains the style of the surrounding show, a much better current example is Sergio Trujillo's dances for the current "Guys and Dolls".
One current example is a British-American project to build a new armoured vehicle capable of very sophisticated reconnaissance.
