If using simulacrum to make a genie who can cast wish 3/day (a move that is still debated its RAW legality and whether you should use it in a real game, but which, in my opinion, is RAW-legal but something your GM should explicitly permit before using in his game), what about the divine equivalent?
Curious? Check out the PrC called Exalted. It's for Clerics. Be a Cleric of Desna like you probably would be, but don't initially take the Luck domain. Wait until Exalted5 to take the Luck domain so you can cast each of its spells 1/day as a spell-like ability. (This means no costly components.) You need to be able to cast level 9 spells for this trick, so there. (If this doesn't work, just use the Perform Miracle ability from Exalted10 and pay full price for a simulactrum. Mimic a Summoner's level 5 version of simulacrum.)
Cast miracle as your SLA and duplicate simulacrum. That's a free half-HD creature right there! I like Solars because they're excellent at pretty much everything, including casting wish as a SLA 1/day. Flavor-wise, it works. You're a CG Cleric of Desna making a 'Sim Solar' (a NG creature) via a miracle.
Whether you believe this Sim Solar could cast all the stuff it does due to its reduced HD is likely subject to the above debate, but if you can make a bunch of Sims via Exalted, good for you!
(My argument for RAW simulacrum granting everything not explicitly linked to HD is simple: The spell says nothing against it, and there are creatures - at least in 3.5 - that have SLAs and supernatural abilities with a CL very separate from their HD.)
