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I don't know dvd players capable of playing MKV and mp4, but a lot of Blu-ray players do.
All Sony players (among others) for a few years play MKV (and its chapters, when it contains chapters), mp4, avi, ts, wmv on dvd and on USB key.
I own the Sony BDP-S370 which I'm satisfied but it has been replaced by the 380 which seems to have the same characteristics.
It's not expensive and you could sell it easily if you don't need it anymore after a while ; Sony S380 Blu-ray Player - Instant Internet Video Playback, With Media Remote and USB: Amazon.co.uk: Electronics