Participating in Sports:
School
At school (in England) we did a range of sports on Wednesday afternoons (soccer, rugby union, cricket, hockey, basketball, athletics and swimming) so I did all of those. I actually played Rugby (generally as Number 8 - i.e. the safe place at the back of the scrum or occasionally as a second row forward - once as a prop but it nearly broke my back) and hockey for the school in various competitions. I couldn't play football (soccer) for toffee and have never really watched it other than the World Cup.
After School
After school I took up rowing (4s and 8s) as the company I worked for - a large insurance company - had fantastic sports facilities in West London (sadly all sold off in the 1990s). I also did a lot of cycle touring (never racing) and have cycled all through the UK and Europe (over the Pyrenees twice and the Alps four times), down the coast from San Francisco to LA, around New England (in the fall - breathtaking); and around Cuba. I also alpine skied for many years.
Watching sports; well pretty much the same really:
F1 (as kids we used to go to Silverstone as it was close to where we lived for a few years); various ralley events and Le Mans.
Rugby. At club level I support London Irish, the NSW Waratahs and Manly Marlins (at various times I've had season tickets for all teams concurrently).
At international level: Ireland, Australia (when they're not playing Ireland) and Japan (when they're not playing Ireland or Australia). (As a good Irishman I of course support whoever is playing against England - especially the French - and as a good Aussie I'll support whoever is playing NZ (except England...). (My wife who is Brazilian always supports England...).
Cycling. Tour de France but if any road cycling is on I'll watch it (and six day events too).
Athletics. Olympics and the Diamond League.
Rowing. I love watching it - though not as much as taking part - but I'll admit it's not really a spectator sport.
Beach Volleyball (it was a major sport in Manly NSW when I lived there).
Surfing (which lets be honest is even less of a spectator sport than rowing but it's always a good excuse to be on a beach doing nothing much for a few days).
As for cricket; oddly I like watching village/pub teams play but not really interested in the professional game (except of course for the time I was in Bangalore when Ireland beat England in a World Cup game - great night in the hotel bar (unless you were English of course).