My current character's main weapon is a Golden Longsword enchanted with Light.
It says- Light 100 ft in 25 ft for 5 secs on Strike.
I'm backwards. I've never enchanted anything.
Sarrahs' first enchanted weapon was an iron dagger enchanted with 10 points of shock damage. She name it Bug Zapper. Her second dagger was Sigil charged with fire damage. She called it Barbecue. Her third and final weapon was a Daedric Claymore charged with absorb health. She named it Vampire.
Angel may have enchanted a weapon at some point but if so, I don't recall it. She normally uses a plain iron or silver dagger for blocking or delivering her powerful poisons. She can also conjure a Daedric dagger and sometimes goes otherwise unarmed.
I mainly just use whatever enchant come with it.
So far my characters never enchanted anything by themselves and only a few of them were carrying enchanted weapons - the last one carrying around an enchanted weapon, was K'hista (who already died about a year ago, BTW) and even his weapon was already enchanted by default, it was Umbra.
Almost all of the weapons that Baa and her companions use are enchanted with 25 Fire Damage using Transcendent Sigil Stones. A few old weapons have 25 Shock Damage, but I don’t like the way that looks. All of them have 70 uses. They also use Daedric Arrows of the Inferno that come pre-enchanted with 20 Fire Damage. Baa collects the arrows one by one when one of her companions practices archery.
My main character's weapon is Goldbrand, so that's pure fire damage. But his self-enchanted weapons are a dagger with Fire Damage + Weakness to Fire, and a bow with Fire Damage + Soul Trap. The exact magnitudes have changed, so I don't know what they are currently, but they were as high as he could set them and still have more than 20 uses. If he's not using a bow, he tends to "prime" his target with a custom spell that magnifies poison+fire+weapon damage (I think it's Weakness to Fire 25% + Weakness to Poison 25% + Weakness to Normal Weapons 25% + Damage Armor 100 pts + Light 100 pts + Soul Trap all for 20 seconds).
None of my other characters use enchanted weapons currently.