When I played a heavy RP run with Alcarien as the Dragonborn, I had him enchant all pieces of his Blades armor, and named them Dova(h) + Dragon Tongue word for the item.
So, the helmet was Dovahklov (Dragon + Head) and gauntlets were Dovahaal (Dragon + Hand)
It was a fun system, and it fit the character,so I quite enjoyed it.
Also, on my Dawnguard character, he named his Crossbow enchanted with fire damage "Bloodbane" which is maybe kinda lame, but I thought it was cool.
Fabulous Necklace of Awesomeness - A necklace with Fortify Magicka + Fortify Alteration made with the soul of Arcano. I chose this name because I saw a picture of Arcano saying "Bitch, I'm fabulous".
Silver-Blood Heirloom - A silver ring with Fortify Magicka + Fortify Magicka Regeneration made with the soul of Thonar Silver-Blood.
King Slayer - A Stalthrim greatsword with Chaos Damage + Absorb Health made with the soul of Ulfric. How he managed to escape Soul Cairn and reach Sovngarde is beyond me.
Thalmor KillJoy - An Enhanced Dwarven Crossbow with Chaos Damage + Absorb Health made with the soul of Galmar. I got this name because Galmar kills Ondolemar if Markarth become a Stormcloak territory, although this scene was cut from the game. How Galmar managed to escape Soul Cairn and reach Sovngarde with Ulfric is beyond me.
Children of Sithis circlet/robe/boots/gloves/necklace/ring/great sword - Basic enchanted mage outfit made with the souls of the Dark Brotherhood members + Grelod the Kind. I'm currently using this gear to play Ben C build Hist Mage.
I've made enchanted an ebony dagger with paralyze and absorb health. Sting.
I actually never use weapons since I'm a mage, and I usually need to enchant my gear quickly before my potions run out, so I don't get to name them very often. I tend to, when naming gear, use the same starting word so everything is lined up perfectly in my inventory and I don't have to sort through my crap to equip different sets.
I'll wear the Archmage's Robes, and I'll enchant some Thalmor Gloves/Boots, ring, necklace, circlet "Archmage's _______".
A Daedric Warhammer named "Grond" with a Fire Enchant and Drain Stamina would be cool.
Well thank goodness for this thread, cause NoHippiesAllowed and I have some fabulous ones...
Me Pimp Hand - a glorious golden ring of unarmed damage, for keeping the wenches in line.
The Potion-Makers Bird-hat - a steel plate helm of alchemy, it was just beautimus.
The Blang Rang - another ring, with some sort of gem in it, I believe it was fortify destruction
I once had a magic greatsword called Jock,
I used it in a fight at Dive Rock.
Vigdis was impressed,
When she heard of my prowess,
I said "you should what I can do with my cock!"
Honestly, I am terrible at naming magic items. It just seems silly, sometimes. I respect the imaginative names I've seen on the blog, but generally I agree with The Hound:
A few specific weapons I've made:
Axe of the Psycho: Fire + fear woodcutter axe
The Tickler: Paralyze + shock iron dagger
Artificer's Hammer: Notched pickaxe + fiery soul trap dragonbone mace
Catastrophe: Fire + shock elven bow
Perfect Storm: Frost + shock elven bow
Apocalypse: Chaos + frost stalhrim bow