How to counter BOOM! + Breaking News + 24/7 News Cycle?
We need to ignore rotation for this, because Breaking News is no longer legal as it has rotated. Here are the cards that can be used to prevent some or all of the damage from Boom!:


Biometric Spoofing - This card is trashed to prevent 2 damage of any type, one copy brings Boom! down to 5 damage, which is survivable, multiple handle the hit even more.
Citadel  Sanctuary - You trash all cards in your hand, but all the meat damage is prevented.
Crash Space - Prevents up to 3 meat damage when trashed, bringing Boom! down to 4 from one copy.
Guru Davinder - Prevents all net and meat damage, then trashes unless the runner pays 4 credits.
Heartbeat - Apex's console lets you trash installed cards per point of damage to prevent each point, any resources or programs you don't need now all are 1 point damage shields.
Jarogniew Mercs - This prevents damage by removing the counters, unlike plascrete (below) it can gain more counters when installed than the base 4 (3 + 1 for the tag it gives) based on the tags you have when you install it
Muresh Bodysuit - Prevents 1 net or meat per turn, not enough to survive with a normal runner hand size but helps when combined with others here. (does not stack with itself, they all try to prevent the same single point)
On the Lam - Trashes to prevent 3 damage or avoid 3 tags. It needs to be hosted on a resource, but only On the Lam gets trashed. Note if you have tags that means the corp can get a 2 for 1 by trashing the resource you hosted On the Lam on.
Paparazzi - When you have this installed you are tagged, but can't take any meat damage. The corp likely won't play boom with this out though, they'd have to trash it first.
Plascrete Carapace - This card lets you prevent meat damage by removing counters, it gets 4 counters when installed letting you prevent 4 meat. This brings boom down to a manageable 3 damage.
Sacrificial Clone - This pretty much resets your game, trashing all your resources and hardware and draining your credits but it prevents all damage.