Mozart - Piano Concerto 20 Uchida
Tchaikovsky - Symphony 5 Karajan/Berlin (60's)
Dvorak - Symphony 7 (Cleveland/Dohnanyi)
Rachmaninov - Piano Concerto 3 (Ashkenazy)
Schubert - String Quintet (Lindsays or Leipzig)
Borodin - String Quartets (Borodin Qt)
Bach - Brandenburg Concerti (Pinnock on period instruments)
Beethoven - Missa Solemnis (Gardiner)
Smetana - Ma Vlast (Ancerl 1963 so if a more modern sound is required try Levine D G)
Stravinsky - The Rite Of Spring (Atlanta/Levi)
All of the above are starting points on the musical journey. If you listen to the late Schubert Qts it will inevitably lead you to the Beethoven's (start with 7-9) you will also reach the Tchaikovsky St Qt No 1. You have an exciting time ahead full of surprises and a few disappointments. When you find something that you like follow the trail.
However I would add that 'Greatest Hits' collections should be avoided like the plague. The composer wrote a complete work with a beginning and end and each part of the work contributes to the whole. There are plenty of Overtures and short tone poems for a quick fix (Sibelius Karelia is one such)
Anyway enough pontificating from me.
Enjoy the music and the journey.