No, the game is not broken. This is the most fun patch in a long time
So I posted this as a comment in another discussion but since there are so many threads complaining about this patch I figured I'd make one voicing my opinion.
I think this is the greatest patch since I've been playing (about a year and a half.) It feels like mistakes are actually punished now and games are generally faster which means I can get more games in in a shorter time.
If you die early mid (or any other lane) you should lose your tower because you messed up, unless the jungler or someone else comes to defend it. If you do inefficient roams or backs you should lose your tower. That's called being punished for your mistakes. There is already a strong tower shield on every tower until 7 minutes, which means you basically get a free 7 minutes of not having to worry about your tower already.
For the people who complain about it being too hard to defend towers, do you actually find it fun for a team to be able to turtle by one tower until 45 minutes where one teamfight or pick then decides the game? Because to me that's completely not fun and a cancer strategy. In previous patches it felt like it didn't really matter that much what happened in lane, as long as you could defend your inhib turrets til 50 minutes and then hope one person from the enemy team went out of position so you could win. To me that's very boring.
It's much more fun to build an advantage early with good ganks, good control of rift herald and dragon, and downing towers when the other team messes up, then pushing that advantage for a 25 minute win. Comebacks are still possible and I've still had my share of 50 minute games this patch. As for the buffs on ADC's and tryn and yas, if everything is OP then nothing is. I think instead of nerfing things into the ground they should just buff more things so everything feels strong in its own way which would make for crazier teamfights and more fun games. For example right now, sure MF is OP with that damage but to counter that you can just pick that OP tryn that can split push hard and no one can 1v1 him.
Also, I play nothing but AP mid and I've been winning most of my games so far and have no trouble laning against yasuos. I think people are just salty because they don't like change. Give it a chance, every game not lasting an hour isn't a bad thing. And for those people who play things like nasus and veigar and are salty about the early ending games- Veigar has a great powerspike at level 11 and if you've farmed well you will still delete people. With Nasus if you farmed well you should have 400+ stacks at 20 minutes which is more than enough to group with your team and take towers. You're not supposed to wait until you have 967 stacks at 55 minutes to start grouping.
Anyway, I hope riot doesn't listen to all the complainers and make every game last an hour again because it's great the way it is now.