Well, there’s a metric ton of phenomenal supplements and one-shots out there.
And a lot is dependent on the setting you and your players prefer.
For a first adventure, I would defintely recommend “The Haunting” from the Core Book. You really can’t go wrong with that. Beyond that?
I would recommend going to the Chaosium website, or one of the RPG download sites, and looking up the monograph lines.
Some of the ones that stand out in my mind offhand? Most of these should still be readily available to be purchased online.
1)“Adventus Regis”. Set in the Roman empire, players play vacationing noblemen drawn into the web of the Mythis. (This comes with pregens [which is a big plus, in my mind], and is the first part of the “Ripples from Carcosa” trilogy. (This monopgraph is readily available online.
2)Grace Under Pressure- A modern-day scenario set aboard an undersea submersible. Great module, very dependent on the Keeper to portray the mood of claustrophobia effectively.
3)Ravenar Sagas”- A bit more”hack-y” than standard scenarios, the players play the Viking crew of a longboat.
4)Any of the Halloween monographs (there are four or five at this point) are worth checking out, and each had a handful of “Halloween-themed” one-shots.
5)Machine Tractor Station Kharkov 37- Set in 30’s era-Russia, another great scenario, this one depending on the players to portray characters with differening agendas.
6)Madness at miskatonic- Not a “one-shot”, but a 4-episode mini-campaing set in the Jazz age, where the players play students at Misatonic U. This was a free online upload by the author, and should be findable pretty easily through any search engine, I would think.
Hope that helps.
Feel free to PM if you have more specific questions or need more input.