What does "active galaxy" mean? Both the Magelanic Clouds (<1 million LY) and the Andromeda galaxy (2 million LY) are closer than Centaurus A.
Most galaxies, including our own, have black holes at the core which aren't getting enough material inflow to act like Cen A.
Here is a Hubble image of the inner workings of galaxy NGC 4261:
See the accretion disk? The hard x-rays and gamma rays it emits are astounding.
Even more energetic galaxies exist: we call them quasars.