In junior school, we'd do a lot of different games:

Kiss chase
British Bulldog
Quick Cricket
Spin the bottle

were all popular, there sure as hell was a lot of kissing going on from years 4 - 6 no wonder I turned out like I did lol.

On rainy days we'd be classroom bound, some teachers I had were terrible and would be like "sit around and read or whatever" other teachers were pretty cool I remember one class teacher had us building an island as a class for geography and so she used to get us working on that whenever we could. We owned the school competition for best class project that year because it RAINED A LOT.

In high school it was a bit different, gone were the games of kiss chase and british bulldog. Instead we played;

football
basketball
handball
penny up the wall - form of gambling amongst kids, bit like marbles except you threw a penny against the wall, the person who landed their penny closest wins bets would consist of around £1 however due to chances of losing the coins we only played with penny coins.
crucifixion - A horrible game were some poor sap would be ambushed and then tied to the school fence somewhere towards the end of break by the perps ties, we all got in big trout more than once for having left the person there at the end of break, unsurprisingly we were all easily caught too, our ties being knotted in to the chainlink fencing.

On rainy days we'd play more basketball if we got put in the gym or the old gym. We'd do trampolining if we got put in the hall, and if we were put in a class often the tamagotchi's came out or the pokemon trading cards. Sometimes there'd be a game or two of spin the bottle but teachers would clamp down on that like it was us playing "go in the toilets and smurf if it lands on you" instead of kiss. Some teachers would simply be all "get on with your homework"

I remember one day in year 10 myself and about 20 other guys were like "smurf the police" or rather "smurf the teachers" and went outside to play basketball in the pouring rain, our last lesson was PE so we didn't care if we got wet... we thought we looked so bad ass with our curtained hair (it was cool in those days, David Beckham had curtains at this point) and white school shirts getting soaked through, looking back and taking off the rose tinted glasses we looked like idiots. We didn't care it was awesome! We got a weeks worth of detentions for that too.