Does China have a air-launched supersonic cruise missile in service? Something that can be carried by fighters. Aka similar to the Brahmos? YJ-91 and 83 seems to be too slow and less effective in anti-ship role.
Air to ground/ship, supersonic, cruise missile just YJ-91 and YJ-12. I don't think PLA bought the HD-1. HD-1 also looks like a half baked project designed mostly to attract investor money but PLA didn't bite.
YJ-91 and YJ-12 are both mach 3+ capable at terminal and mach 1+ during cruise. Brahmos is similar albeit much larger and the air to ground Brahmos-A missile can only be carried by one platform in India, the Su-30MKI. The Brahmos NG is a work in progress.
Multiple PLAAF and PLANAF platforms can carry YJ-91 while YJ-12 air launched can only be carried by H-6.
As for a more macro comparison since you are talking about Brahmos, we should note that China was offered the Oniks/Yakhont missile which the Brahmos is and rejected it back in the 1990s. It is not some amazing missile, frankly a subsonic stealthy cruise missile would be much more effective than something like Brahmos/Oniks/YJ-12.
Hence why China has hypersonic missiles for air to ground/ship serving as its top tier anti-group/ship weapons. These include ground, ship, air, and possibly space (Chinese FOBS platform was observed by USA on multiple occassions launching payloads) launched hypersonic glide and MaRV based anti-ground/ship weapons. With all the test flights of at least three different types of engines that power hypersonic craft since 5 years ago at least, HCM should honestly be included in the list. Afterall, HGV is more difficult in every other way apart from powerplant than HCM and faster too. So many test
flights of rotating detonation engines, combined cycle engine types and scramjets whereas India's only just started ground testing of scramjets and managed to fire for less than a minute in lab conditions.
Not only this but it should be noted that ISR, EW - ECM & ECCM, targeting network, guidance network, resilience of all that etc are all very important and arguably more so than the missile itself when comparing relatively similar missiles. In these fields India is not only quite a laggard, it is one of the worst performing overall e.g. it can be said Canada has better ISR and electronic capabilities than India. Russia certainly has and Oniks isn't some magic bullet to solve even a midget problem. India using Brahmos on China would invite 100x the volume of just similar performance missiles not to mention the 1000x "lesser" missiles and another tier of weaponry available to China now that India barely has on planning PPTs. That's not even going into production capability, ISR, EW and so on.
But going back to a simple platform to platform comparison, China's closest sort of "similar" missile to Brahmos is indeed the YJ-12 and it's hard to compare beyond basic performance metrics available online since their respective electronic capabilities are not well known. We can judge China's academic, industrial and electronic/software/computing industries against India's.
The difference is Brahmos is like the prized Ferrari in India's garage whereas YJ-12 is like the scooter in China's... meanwhile in China's garage, she's got a few Bugattis, tanks, tractors, F1 racer and your basic bitch Ferrari too. In far greater numbers as well.
As for anti-ground, well China's got the second largest airforce in the world for pounding ground. There's not much need for lots of expensive new anti ground supersonic cruise missiles when China has two and many alternative options to choose from. The largest army and ground forces by a mile. The largest artillery force including guided artillery by 10 miles and more production capability than rest of world combined. Indian manufacturing in speed and quality is only promoted by Jai Hinds. Do it in India and take a look how miserably bad both speed and quality of everything is that is Indian. That's out of things which aren't even pure vaporware bs.