He swiftly gained international fame and conducted such orchestras as the Saint-Petersburg Philharmonic, Orchestre de Paris, Philharmonia Orchestra, Orchestra National du Capitole de Toulouse, WDR Sinfonieorchester Köln, Rundfunk Sinfonieorchester Berlin, Czech Philharmonic, Helsinki Philharmonic, Royal Stockholm Philharmonic, Bergen Philharmonic, Orchestra Sinfonica, Sinfonia Varsovia, City of Birmingham Symphony, Gothenburg Symphony, English Chamber Orchestra, Royal Stockholm Philharmonic, Orchestre de Chambre de Lausanne, Orquesta Sinfonica y Coro de RTVE, Tonkünstler-Orchester at the Vienna Musikverein, and others.
In Japan, he also holds the titles of Permanent Conductor of Japan Philharmonic, Music Partner with Sendai Philharmonic and the Orchestral Ensemble Kanazawa, and Music Director of the Yokohama Sinfonietta, an ensemble he founded whilst still a student. In August 2012, he directed Xenakis' opera Oresteia with the Tokyo Sinfonietta and replaced Maestro Seiji Ozawa, on the maestro’s recommendation, in a stage version of Jeanne au Bûcher by Honegger with the Saito-Kinen Orchestra. The production was performed at the Philharmonie de Paris with the Orchestre de Paris and in Monaco with the Orchestre Philharmonique de Monte Carlo. Marion Cotillard played the role of Jeanne d’Arc.
Major soloists with whom he has worked include Emmanuel Ax, Boris Berezovsky, Leon Fleischer, Håkan Hardenberger, Nobuko Imai, Daishin Kashimoto, Daniel Müller-Schott, Xavier de Maistre, Steven Osborne, Vadim Repin, Baiba Skride, Jean-Yves Thibaudet, Daniil Trifonov and Alexandre Kniazev.
Kazuki Yamada and the Orchestre de la Suisse Romande will release a series of three, dance-inspired CDs inspired on the Pentatone label. With Octavia Records, the artist will present works by Glazunov, Kalinnikov and Khachaturian with the Czech Philharmonic. Previously, on the Fontec label, the conductor appeared on four CDs presenting vocal works with the Tokyo Philharmonic Chorus, of which he is the resident conductor.
During the 2015/16 season, Kazuki Yamada returned to the Philharmonia Orchestra, conducted the Orchestre National de France, Tonkünstler-Orchester, Orchestre de Chambre de Lausanne, NHK Symphony, Malaysian Philharmonic and City of Birmingham Symphony, which he would take on tour in Japan. He made his debut with Staatskapelle Dresden, the Bergen Philharmonic, the West Australian Symphony Orchestra and at the Grand Théâtre de Genève in an opera. He then continued his cycle of Mahler's symphonies with the Japan Philharmonic.
Kazuki Yamada is taking part in the Seiji Ozawa International Academy Switzerland as guest conductor. In Seiji Ozawa’s absence, he conducted all the students in 2010, 2012, 2013, 2015 and 2017.