Short of spending big money on a professional telephoto zoom, the Nikon Nikkor AF-S VR 70-300mm f/4.5-5.6G IF-ED is as good as it gets for both Nikon full-frame and APS-C cameras. Upmarket, ring-type AF-S autofocus and dual mode Vibration Reduction are matched by excellent overall build quality.
Fast, practically silent autofocus complete with full-time manual override, along with excellent performance of Vibration Reduction system.
Expensive for a 'budget' telephoto zoom and sharpness could be a little better at the longest 300mm focal length.
The Nikon Nikkor AF-S VR 70-300mm f/4.5-5.6G IF-ED is more expensive than most budget telephoto zooms but worth every penny.