C K Dexter Haven:
The Case of the Broken Fellowship
As this is the only one missing the aesthetic alliteration, might I respectfully suggest as a replacement…
The Case of the Bitchy Balrog
How about The Case of the Fractured Fellowship?
Frodo Baggins and the Sorcerer’s Ring
Frodo Baggins and the Council of Secrets
Frodo Baggins and the Prisoner of Saruman
Frodo Baggins and Mountain of Fire
Robert Jordan:
The Wheel of Sauron
The Great Quest
…and sixteen more volumes. Just to get to the end of the story told in The Fellowship of the Ring.
Book 1. My Big Fat Hobbit Birthday
Book 2. Sweet Home Moria
Book 3. How to Lose Two Hobbits in Ten Days
Book 4. When Frodo Met Smeagol
Book 5. Le Fabuleux destin d’Aragorn Elessar
Book 6. Run Sam Run
Aragorn Jones and the Hobbit of Doom
Fawlty Towers
Farewell, My Precious
Mulhobbit Drive
Pride and Precious
Another for the Fellowship of the Ring:
Nin9
How have we not done this in the spirit of “Friends” episode titles?
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The One About The Ring
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The One About the Fellowship
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The One About Helm’s Deep
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The One About Frodo and Sam
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The One About Aragorn
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The One About Sauron Losing
Lord of the Rings: The Two Towels.
Oh, my. I can see the possibilities here. This thread could become just as long, popular and entertaining as the one titled ‘If LotR Had Been Written By Someone Else!?’
I can’t think of anything witty to submit here, but if I can come up with a new title for the LotR books, I’ll return and post it.
Just wanted to say I’m enjoying the ones already posted here by all you clever folks.
Ring Trek: The Notion Gets Clear
Ring Trek II: The Wrath of Tom (Bombadil)
Ring Trek III: The Search for Frodo
Ring Trek IV: The Voyage Away From Home
Ring Trek V: The Fangorn Frontier
Ring Trek VI: The Undiscovered Hobbit
Ring Trek VII: Gondorations
Ring Trek VIII: Fights Rohan-Backed
Ring Trek IX: Sam’s Erection
Ring Trek X: Hobbits Pissed (i.e. Scouring of Shire…)
Okay, the last ones were a little tough. Sorry about number 9… 
Episode IV: A New Ringbearer
Episode V: Sauraman Strikes Back
Episode VI: The Return of the King
The Ring-Bearer’s Guide to Middle-Earth
The Rivendell at the End of the Second Age
Life, the Rings, and Saruman’s Uruk-Hai
So Long, and Thanks for all the Fish, Gollum
Mostly Ringless (the last 2 books)
Interview With the Hobbit
The Hobbit Frodo
The Queen of the Elf-Land
The Tale of the Ring Thief
Sauron the Devil
How It Started
The Middle Part
How It All Turned Out