The 2014 Subaru BRZ hasn't yet been rated by either of the agencies that crash-test cars, so we can't qualify any remarks there.
The Insurance Institute for Highway Safety (IIHS) gives the BRZ all 'good' ratings, although it hasn't yet been rated in the new small overlap frontal test. Separately, it's earned a five-star overall rating from the federal government, with four stars for frontal impact and five stars in side impact.
For a sports car, outward visibility is reasonably good in the BRZ—thanks to a reasonably low beltline and plenty of window space.
In addition to a multi-mode stability control system, four-channel ABS, electronic brake-force distribution, Brake Assist, and Brake Override are all included, and although the BRZ doesn't have all-wheel drive like the rest of the Subaru lineup, we'll wager that its responsible and predictable handling is bound to be an asset in accident avoidance.