Rachmaninoff played his concertos like no one else. He was simultaneously cool, heroic, and poetic. His fine sense of rubato - imaginative, infinitely subtle, never exaggerated - and his ability to execute the most complex and delicate filigree with utter clarity and a nonchalance which is never superficial, made him an aristocrat of the piano. Defying the impression we sometimes have of his music, he played without a trace of sentimental indulgence or histrionics, and from under his huge, powerful, sensitive hands these works emerge in their full stature.
Of others I have, Wild is exciting but driven, Hough consciously taking a Rach-like approach but missing too much of the poetry. Horowitz's Third is incomparable in its own way (Rachmaninoff agreed) and must always be heard, Ashkenazy is warm (under Previn or Haitink) and a solid recommendation, there's a gorgeous, meditative First Concerto by Volkov, an interesting Second by Katchen, and a classic Third by Cliburn. Many like Argerich in the Third; for me she's a little overheated, more Argerich than Rachmaninoff.
Whatever your modern preferences, give the composer a chance to teach you something about his music and about playing the piano. The sound is boxy and shallow, but it doesn't matter.