This disc offers an interesting coupling; on one side, one of the most beautiful concertos of the entire repertoire, and on the other, the chromatic, twelve-note creation of Berg in the 1930's. I don't think any music lover would dispute the greatness of the former whereas the latter may not be to everybody's taste.
Capucon plays both concertos really well with excellent support from the Vienna Philharmonic under Harding who just lets the music unfold naturally. But I would recommend this recording on the strength of the Brahms concerto alone. The recording is very good with astonishing clarity of orchestral detail.
Needless to say there are many fine recordings of the Brahms concerto in the catalogue and it would be difficult to pick one particular recording as the best. Top contenders in the modern digital age would probably be Gil Shaham/Abbado, Repin/Chailly, Fischer/Kreizberg and Perlman/Barenboim. Gil Shaham's wonderful live recording with the Berlin Philharmonic under Abbado in 2002 in Palermo probably comes really close to greatness. For greatness and a monumental recording of this timeless masterpiece try the unforgettable Oistrakh/Klemperer recording.