G-BZAJ was a PZL Koliber 160A. That's a slightly uprated version of what started life as the Morane-Saulnier MS.880 Rallye, later became the SOCATA (that's the Societé de Construction d'Avions de Tourisme et d'Affaires) Rallye and was then licensed to PZL (Panstwowe Zaklady Lotnicze) Warszawa-Okêcie, who now manufacture it as the Koliber ("Hummingbird"). Both SOCATA and PZL are now parts of EADS.
Unfortunately, G-BZAJ suffered an accident (see the BBC news report and another local interest site - scroll down to the end) and is no more. Even the most tolerant of aircraft can't survive a collision with the South Downs, but it's a tribute to her construction that the pilot (not me!) walked away with only minor injuries.
EADS publicity shots:
Pick your own background!
This one's actually G-LOKM, but it makes good wallpaper: