The following are all the one star challenges added to the gameA Slave Obeys
Kill Mr. House with a 9 Iron or Nephi's Golf DriverBenefit or a Hazard
Kill Robots with 5.56mm pistols (15 required)Overkill
Kill Animals with any Fat Man or Fat Mines (20 required)The Same Could be Said of All Religious Weapons
Kill Feral Ghouls with Maria, Gehanna, and Holy Frag Grenades (15 required)You Don't Belong In This World!
Kill Abominations with Katanas, Dynamite, Machetes, Throwing Spears, Throwing Knives, and Throwing Hatchets (10 required)Ne Ne Ne Ne...
Cripple Right Arms with Shotguns (5 required)
Only one challenge here is completely missable that one being A Slave Obeys. If you already killed House you will be unable to complete it. The easiest 9 iron I can think of are in Nipton. One in the town hall and the other in the house with the Mister Gutsy. If you want Nephi's 9 iron go to the South Vegas Ruins East Entrance (http://fallout.wikia.com/wiki/South_Vegas_Ruins_East_Entranc...
) and find Driver Nephi to the south. You need to kill him for the quest Three-Card Bounty if you plan on doing that quest.
Even if you can't kill House then there are still 5 more goals. For Benefit or a Hazard. Use the 5.56mm pistol from Gun Runners due to the fact that it will contribute to Master of the Arsenal. If you own Old World Blues the roboscorpions, securitrons and turrets found throughout the add-on will contribute. Avoid killing Mister Gutsys and Sentry robots as you need to kill them with a different weapon for another challenge.
If you are determined to complete Overkill then you can either use Esther the unique fat man added to the game or you could find a regular one. The easiest one being found in Nopah cave. (http://fallout.wikia.com/wiki/Nopah_Cave
). Be mindful that ammo is limited and in my experience Gun Runners does not carry much ammo when selling.
The Same Could be Said of All Religious Weapons is best obtained by using the Gehanna as it contributes to both damage achievements. I suggest the Old nuclear test site since the ghouls respawn. (http://fallout.wikia.com/wiki/Old_nuclear_test_site
) If you haven't killed the ghouls found in the REPCONN test site there are some there. This building can be found west of Novac.
The best choice for You Don't Belong In This World! is the katana sold at Mick & Ralphs as it contributes to Master of the Arsenal.
The following are Abominations
Aliens (Wild Wasteland)
Centaurs (The Devil's Throat or from Hidden Valley go to Black Mountain to find a broken fence.)
Nightstalkers (Bloodborne Cave)
Spore carriers (Vault 22)
Spore plants (Vault 22)
As for Ne Ne Ne Ne... if you have the Bloody Mess perk then his will most likely be ruled out. I didn't go for this one as I have said perk so I can't comment on the difficulty on the challenge. My best suggestion is using a weaker shotgun on enemies with more health. Remember you just have to cripple the arm so if you run into an enemy of another challenge be sure to finish the blow with any required weapons.
I hope this can now help if any more information is needed please comment!