I'm just reposting the message I sent Metro.
My original sim, Darrell Drake had the following traits - Can't Stand Art, Evil, Kleptomaniac, Charismatic and Ambitious (heh not the typical fare). LTW was Swimming in Cash.
Neighbourhood choice - Appaloosa Plains. No other choice. You need the cemetery of AP cause it has the pet ghost.
I'll quickly run through the ten requirements and what's needed for them.
[1] A Sim - normal life state.
[2] A Mummy - Sleep in the Cursed Sarcophagus of the Kings, which we need to get.
[3] A Ghost - a Sim must die, another gets Oh My Ghost! opportunity, revives Sim.
[4] A Vampire - a Sim must be bitten, OR we can move in a natural Vampire.
[5] A Hybrid - two Sims of different types must Try for Baby.
[6] A Simbot - we buy "My Best Friend" LTR, 40000 points. (Inventing's too slow)
[7] A Genie - we buy "Dusty Old Lamp" LTR, 30000 points, and free it.
[8] An Imaginary Friend - get a grown up doll and give it Imaginary Friend Metamorphium.
[9] A Blue Pet Ghost - we wait for a pet to die ... or, we resurrect a blue pet ghost!
[10] A Unicorn - we find it, befriend it, and ask it to move in.
On the first day, I worked to move in three groups of Sims - they are Gavin Pinkerton, Kim Marshall and company, and Kanoa Parrott.
Pinkerton can be done easily by using Complain About Art - this is why I picked Can't Stand Art. I wanted his Margaret Vaguester.
Kim Marshall - I found out about her business career job and then spammed Talk About Business until she would move in. I brought in her husband Felipe and the three pets. Need her help for the Unicorn.
Kanoa Parrott - took a bit longer but wasn't so critical as I was just exploiting his Logic 9 skill for the Imaginary Friend Metamorphium potion.
Of course, I grabbed the Motive Mobile with my starting LTR points from the Swimming in Cash and a few other small wishes, and worked from there.
Going item by item,
[1] A Sim: Darrell Drake (Day 1)
No changes here, my starting Sim remained a Sim for the entire six days of challenge.
[2] A Mummy: Kanoa Parrott (Day 6)
I sent Gavin Pinkerton to buy up the consignment store many, many times. I also used the money from his Vaguester to buy over the performance park, and filled it with counters and relic registers. The point of this is to transfigure five fragments of the Sarcophagus of Kings. You need 8 elements on the display table with value 12k to 25k, so two Supernoviums or Heart Cut Pink Diamonds plus other junk gems/metals does the trick. I managed to get the fragments by day three and passed them to my first sim Darrell to assemble (as he has the Evil trait - which virtually guarantees a Cursed Sarcophagus). Later I needed to move the small pets out once I brought in the unicorn, so I moved Gavin and the three pets from the Marshall family out. Sometime later I had Kanoa Parrott sleep in the sarcophagus, and he became a mummy early on Day 6.
[3] A Ghost: Ivan Drake (Day 4)
Very early on, I adopted two Children of different genders and aged them up to Teen and then YA, then killed them by drowning (very fast - use Trees of Prosperity to drain their energy and then have them swim and close off the pool). I made sure Darrell did not train in any skills so his chance of rolling Oh My Ghost would be almost confirmed. He did on day 4 and thus I resurrected the male YA, Ivan Drake, to prepare for the Hybrid. I had two of them in case my hybrid-mates were all of one gender (thankfully I did this, as the vampire, IF and genie were all female!)
[4] A Vampire: Jazlyn Parrott (Day 5)
I got a bit lucky with this one. Before thinking about the ghost pet trick, I actually thought of doing the challenge in Bridgeport since over there you start with vampires already. Vampirism spreads randomly and thus the best way to have an idea would be through knowing as many Sims as possible. I had my SimBot Elsa Drake use the miner (bought from consignment) to drill as much as possible to get to know as many Sims as possible, even if it was in a bad way. Though this wasn't needed as I saw on day 5 that Jazlyn Parrott became a vampire. I then moved her in via her husband.
[5] A Hybrid: Salvatore Marshall, Ghost & Imaginary Friend Parents (Day 6)
Try for Baby if done in the time machine is near immediate. Not much else to say. I made sure I got one from my consignment store runs early in the challenge. Get two of opposite genders, and do the necessary.
[6] A Simbot: Elsa Drake (Day 3)
When I aged up the two YAs whom I drowned to fulfil the Ghost requirement, I made sure they picked Swimming in Cash as their LTW. Fortunately, one of them had Ambitious (makes Swimming in Cash 40000 points, yay!) - otherwise I'd have to speed through photography to get the 5,000 point difference. So Ivan Drake bought the 40,000 point LTR. Done.
[7] A Genie: Sandra Neff (Day 6)
Surprisingly this was actually the challenge-ending lifestate, finished at about 6 pm. As mentioned just above, my other sacrificial Sim Ivana Drake had 35,000 from her LTW which I used for the Dusty Old Lamp. I used the first wish for Fortune, because I had to buy the cemetery (see the section on the ghost pet). Didn't need any more, but as I wanted breathing room to work with and once the relationship is well developed, freeing the Genie is very easy, I did this last.
[8] An Imaginary Friend: Pal Marshall (Day 4)
As discussed earlier I moved in Kanoa Parrott with his Logic 9, so it didn't take too long on the inventing table to make an Imaginary Friend Metamorphium. After drowning the 2 YAs, I arranged to adopt a toddler Iris Marshall whom I then aged up to child and then YA. After making Best Friends with the IF, I used the potion on the IF. Iris was later moved out to make space in the household.
[9] A Blue Ghost Pet: Breezy (Day 5)
The cemetery in AP has a few pet ghosts, including this lovely specimen. Now this is where the Kleptomaniac trait comes in handy! For some reason, the game didn't seem to allow me to "Swipe Something" inside the pet cemetery enclosure, but buying the Cemetery and moving Breezy's grave out did the trick. Darrell then swiped the gravestone and brought it to the Science Facility. Done.
[10] A Unicorn: Seraf Horse (Day 5)
The key to this, really, is Kim Marshall. She has the Animal Lover trait and is already BFF with her 3 pets. So all you need to do is wait for the Unicorn to spawn and you can immediately start work on bringing its relationship up. I wasn't able to do it on the first shot, but successfully brought the unicorn's status up to BFF the second time I met it.
Quite a fair bit of multi-tasking, though nothing too bad.
And at that time, I wrote this: It's probably possible to do this faster than 6 days, but I only got Oh My Ghost! on Day 4 and the unicorn on 3 and 5 (ugh), so that slowed things down a bit... Nutella or LenaLJ (or anyone else) might spring a 5 days, for all I know! (or 4, though that'd require probably an even more powerful strategy)
The last bit turned out to be very true.
ratchie - the trick was transfiguration. 8 items worth 12k - 25k in total will get you a fragment of the Sarcophagus of Kings. If an Evil Sim assembles it chances are you'll get a Cursed one.