This thread has actually been very helpful for me in building stall, I'd like to offer some ideas about what I've personally found useful. Most of this will already have been discussed, but Doublade beats a huge number of the new wallbreakers that have emerged after aegi's ban, as well as taking on the latis ok. In particular, Heracross is particularly difficult to beat outside of Doublade, so really, when I build stall now, Doublade is one of the first mons that I add on.
Although Shed Shell Skarm has already been discussed, I feel like now, due to the increasing usage of magnezone, and in particular the bunnyspam team, it is the absolute best item choice at the moment, as otherwise you can't defog safely against any team with a magnezone on it, and it becomes much easier to pressure your stealth rock weak mons, such as, say, Char X.
Other than that, a pokemon I would particularly like to talk about is Celebi. It is a strong choice for the grass type of your team (if you choose to run one, as stall structure tends to be slightly less formulaic than it used to be), taking on Keldeo well, but equally notably, if you run some defence on it for Knock Offs, it can take on Landorus without sludge wave just fine. It takes pressure off of your cleric, or lessens the need for one, and can offer strong utility such as stealth rock, perish song to force switches, or it can be the cleric on your team rather than taking pressure off of one. However, I recommend running Baton Pass on it, not for passing stat boosts, but to dry pass out of Bisharp/non scarf ttar pursuit traps.
At any rate, the short version of what I want to say is this: To take on bunny spam, Shed Shell Skarm + Doublade + something bulky that can take hits from both Garchomp and Azu, such as Slowbro, is a good place to start. Furthermore, Celebi beats a good number of threatening OU pokemon and has much it can offer in the way of utility for stall, so its increase in usage is well deserved.