Welcome to classical music!
My favourite CD that includes the Moonlight sonata is this one...
My favourite CD of Vivaldi's Four Seasons is this one...
https://www.amazon.com/Seasons-Marriner-Academy-Martin-Fields/dp/B000E6EH0E/ref=sr_1_11_twi_aud_2
There are a couple of great video performances of it on youtube, if you are interested...
https://www.youtube.com/watch?v=DIGiXuxo_DY starting at the 25:00 mark
Winter from The Four Seasons (by far my favourite of the four seasons)
https://www.youtube.com/watch?v=ZPdk5GaIDjo
A recent trend is to perform Vivaldi's Four Seasons along with Piazzolla's Cuatro Estaciones Porteñas, also known as the Estaciones Porteñas or The Four Seasons of Buenos Aires, which he was also inspired to write by the different seasons of the year...
This is possibly my favourite performance of all.