Go-second:
Duchess + Mithrala + UDK + Rotos. Mithrala in Guardian, UDK in Stoneskin, Duchess in Stoneskin, Rotos in whatever your best gear is. If you can't get two good Stoneskin sets going, then put UDK in Bolster instead. Duchess should survive the nuke - you'll want her in high-ish RES, but she doesn't need to be absurdly high. Avoid Serris if possible, just because you don't want to play the coin-flip game. Get Duchess in like, 450-500 RES, and then divide the rest of the stats between SPD, HP, and DEF. Mithrala should be pretty evenly SPD, HP, DEF. If UDK is running Bolster, he'll want to have very high HP, otherwise, divide them evenly between HP and DEF. He doesn't need any other stats. Rotos will want to be focusing on CD/ATK, but don't make him too slow either.
Cardinal:
Cardinal + Serris + Yannica + Genbo, if you have Genbo. If you don't, then Cardinal + Serris + Ninja + Foli. Run Ninja with around 500 ACC - his job is to freeze people that might be running Swift Parry, as well as people like Skullcrown. Avoid Leorius teams.
Speed Nuke:
Arbiter + Kymar + Umbral + Bloodgorged. Arbiter is obviously going to be fast, Kymar needs to be fast enough to go after Arbiter with no cut-in, and running 500+ ACC. Umbral needs to be running 500+ ACC as well. Bloodgorged needs to be fully booked to cycle his cooldowns, and should just be built as a glass cannon. Goal is to take out their most dangerous person first with Bloodgorged, and then slowly work through the rest. If that person is too tanky to take out with his A3, make sure to use your A2 first to soften them up.
Run Cardinal versus their speed nuke if possible, if not, run Go-second vs their speed nuke. Run Speed nuke versus their go-second. Run Go-second versus their Cardinal if it's there, or, if not, run it versus their random other team.