You can get a month's access for free to F1TV.com which has a full archive of all previous Formula One races. I haven't really followed the sport particularly closely and not at all the later years but after having watched the Drive to Survive series on Netflix (which was awesome) I thought it was a good chance to get a sort of live sport experience as I have no idea who will win each individual Grand Prix (except the Hungarian one where I attended in the flash last August) - though I do know who ends up as the world champion but that was kind of a done deal pretty early in the season.
Yeah, I know that but don't have that much time. And the races I want to watch I generally find them on the net. Perhaps I can get the access if I can't find a race.
And yes, you should watch it. F1 is amazing and at the moment my favourite sport ( Very bold to say this in a cycling forum, I know ).
And here are some of my personal favourites from the past decade, with the bolded in my top-10 :
2010: Australia, China, Turkey, Canada, Belgium, Singapore, Korea
2011: China,
Canada, Britain, Germany, Hungary, Japan
2012: Australia,
Malaysia, China, Spain, Canada,
Europe, Belgium,
Abu Dhabi, USA,
Brazil ( Honestly, almost whole 2012 is great apart from a couple races after summer break, best season ever in my opinion )
2013: Australia, Malaysia, Britain
2014:
Bahrain, Canada, Britain, Germany,
Hungary, Belgium, USA ( Japan was good too but I can't include it because of Bianchi's crash )
2015: Malaysia, Britain,
Hungary, USA,
2016: China, Spain, Monaco, Austria, Britain, Malaysia, Brazil
2017:
Azerbaijan, Belgium, Singapore
2018: China, Azerbaijan, Britain, Germany, Italy, USA
2019: Bahrain, Austria, Britain,
Germany, Hungary, Italy, Brazil