Is it possible to complete Daedric Artefact Achivement without killing Silus

To answer the question in your title, PS3Trophies list five of them as missable. Here is the list:

• Mehrunes’ Razor
  Sometime in the game you’ll get a message from a courier to visit the museum in Dawnstar – visit it. Visit it even if you don’t and start the “Pieces of the Past” quest to get your hands on Mehrunes’ Razor, which will send you to three places in Skyrim to get the three pieces of the sword.? You must kill Silus at the end to get the artefact.
• Savior’s Hide
  In Falkreath at the Falkreath Barracks (east of town), downstairs in the Falkreath jail you’ll find a chap called Sinding who will give you his cursed ring and thus starts the quest, “Ill Met by Moonlight.” Again, like the rest, you must choose to kill or risk not getting the reward. You cannot have the Ring of Hircine and Savior's Hide. You must kill Sinding instead of helping him. Thanks to jamby for the info. It is possible to get both Savior's Hide and the Ring of Hircine and have them both count. You will have to kill the hunters and then go back and kill Sinding. Thanks to Rawra for confirming.
• Masque of Clavicus Vile
  The first time you enter Falkreath through the front gate the guard will mention something about the blacksmith’s dog going missing. Speak to him and then go after the dog. When you meet the dog you’ll initiate the “A Daedra’s Best Friend” quest and head off to Haemar’s Shame at the south of the large mountain with High Hrothgar on it – east of Helgen – note: you have to follow the dog but he has terrible path finding, so you could just meet him there.
  You’ll then set off to retrieve The Rueful Axe from Rimrock Burrow and return it. NOTE: Do NOT kill Barbas with the axe when you return, give it back to Clavicus and get the Daedric masque.
• Skull of Corruption
  If you head to the Windpeak Inn in Dawnstar you’ll see a bit of a situation arise with locals speaking to Erandur regarding some night terrors they’ve been having. Speak to Erandur and start the “Waking Nightmare” quest. It’s a simple follow him, go here, go there trophy (note: the Dreamstride book is on the balcony area in the far corner) but at the end when you get the chance to kill Erandur whilst he’s performing the ritual, kill him and you’ll get the Skull of Corruption. If you don’t, he destroys it.
• Ring of Namira
  In Markarth, in the Understone Keep you’ll find a priest called Verulus who wants you to head into the Hall of the Dead to investigate what’s going on. The quest starts off as a miscellaneous objective and will soon turn into the quest, “The Taste of Death” once you’ve spoken to and agreed to help Eola in clearing Reachcliff Cave. There is a potential that you could say no to helping Eola… don’t! In order to get the ring you have to kill Verulus as he lies on the table and then eat his flesh.

Now, for what you put in the body, jwaddell just answered and I don't think I can add more. You can still try what Daniel suggests in his comment on your question, which seems to be the only way to get the 15 items if you're not on a PC...!

How to fix (2013 update)

I've tried the bugged saved game file I initially posted in my question with the current latest versions of the official patch, Unofficial Skyrim Patch (USKP) and Skyrim Script Extender (SKSE), and the saved game is now Aspect of Peryite-free.

I've configured SKSE to use its ClearInvalidRegistrations console command on every saved game load, which removes invalid scripts left running by uninstalled mods. This feature was introduced in v1.6.7 of SKSE:

add console command ClearInvalidRegistrations to remove invalid OnUpdate() registrations

This prevents orphaned OnUpdate() events and the resulting bloated/broken saves when removing certain mods. When applied to an already bloated save, it will stop growing further and instead shrink over time as the game processes all queued events. This may take hours depending on the amount of bloat.

To execute automatically after each reload, add this to \Data\SKSE\skse.ini:

[General]
ClearInvalidRegistrations=1

According* to a developer of the Unofficial Skyrim Patch (USKP), the underlying cause is because DA13 ('The Only Cure' quest) is never stopped.

A possible fix* for this:

In the meantime, load an affected save, then type stopquest DA13 into the console. That ought to put an end to that. Plus it’ll free up some unnecessarily leftover alias memory.

BTW, don’t use the console command on a save not bothered by it. Even though it may appear benign, console commands can have negative consequences you don’t know about.

If this doesn't work or if you experience issues like: NPCs not responding properly to conversation (not reply to you when you choose a certain conversation path - leaving you stuck), merchants not opening the buy/sell window, horses that can't be ridden, and other interaction issues, then the save game is most likely corrupted. Try the SKSE ClearInvalidRegistrations console command fix I've posted above, instead.

To prevent this from happening in the PC, get the latest version of the Unofficial Skyrim Patch. This has been fixed since version 1.1 of the USKP:

"The Only Cure" (DA13) was never stopped which would lead to the Aspect of Peryite randomly initiating conversation and being unable to exit.

^{* This info is from the old USKP bug tracker page at 16bugs.com, which is now not viewable. The new USKP bug tracker report page of this bug is at afkmods.iguanadons.net.}