Emo sableye does more damage. He doesn't care for his pokemon because he's a smogoner. #PokemonAreFriends
I see Clefable and occasionally Bronzong/jirachi as partners for Sableye. Anyone got some suggestions for it (right now, I've only worked with Audino and Mslowbro on stall so far).
Acid Spray Tentacruel, because most people's #1 answer is going to be "ah yes, let me just CM with Clefable to victory."
Then something to take on boosting threats e.g. CM Lando / a random NP Thundurus. Your own Unaware Fable as you said will help vs. most sweepers not named CM Lando / Mega Gyara. I imagine Ice Beam Cress is a good answer to CM Lando.
& then your buttbuddy Drain Punch Chesnaught is a complete stop to Taunt/Sub M-Gyara, who's immensely dangerous to Sableye & Cress & most of stall generally.
EDIT: RDTG Manaphy is becoming hugely popular to dismantle M-Sableye/M-Slowbro stall, too, because it does it so easily. Neither Unaware user wants to take a Scald in the rain, and the most common Mirror Coat user in Alomomo gets wrecked by Energy Ball. Chansey doesn't beat it, just weakens it. You could run some gross trap with Trick Goth but that's literally disgusting. Mirror Coat Tenta actually eats up a +6 anything in rain (barring unlikely psychic) so. . . that's something.