For example, no weapons match the Steel Plate Armor, so I don't use it. Just seems silly to be wielding a dwarven sword that looks so out of place with a suit of armor like that.

Steel weapons are for Steel plate......

But yes, i do that other than with special weapons/armor or modded weapons and armor

Depends.

There is a perk in the light armor skill tree that gives bonus to matching armor, so obviously in that respect its the go. I don't care much for heavy armor.

With weapons, my character just grabs or makes whatever he can at the time with only one focus - inflict as much damage to hostile AI in as short a time as possible before he dies!

Apart from that, aesthetics don't mean anything to my character. Its the combat and skill experiences that matter as far as I'm concerned.

I have a character named Aria the Dwemer that wields Dawnbreaker, but Dawnbreaker is the only non-Dwemer Weapon that matches a character in Dwarven Armor.

I use Nord Hero Weapons because they do fit Steel Plate, and I have had characters nearly die getting the two Nord Hero Weapons available without having joined the Companions, and access to Skyforge.

I consider Draugr Weapons to be a close enough of a match to Steel Plate to use, but Draugr Weapons are lower tier equipment.

I use armor and weapon mods... so rarely do I seem to end up with a "matching set" However I usually leave orc weapons to my orc characters, forsworn weapons to my forsworn characters and so on.

I love mixing armour. I don't care about armour rating.
Weapons. I use whatever looks best in my characters hands. The weapons don't have to match the armour.

Thanks. Im just curious, how do steel or nord hero weapons match steel plate? Aren't the patterns different?

I like matching armour sets, but I don't mind mismatched weapons.

both have the same color and base property (Steel), also, the weapons do not really have a pattern of any sort so the only thing that really matters to "match" them would be the color.

Also, where do you get nord hero weapons without the companions/skyforge?

Volunruud, a Barrow near Whiterun. Just kill a Ghost, loot the Ectoplasm pile, easy

EDIT Getting Okin and Eduj is difficult, My Conscience made Me edit this.

I remember okin and eduj there. But there are two other ghosts that have nord hero weapons?

My conscience says to warn the OP that "difficult" is an understatement if you are not prepared

Well I don't go so far as to consciously match my armor with my weapons, but I match my armor pieces. If I say, smith Elven armor though, I'll probably make some blades or a bow to go with it.

M'aiq only uses armor that matches each other. He does not care for weapons though.

I think I go out of my way not to match anything. One of my favorite "outfits" is dragonbone helm, dawnguard armor, ebony gauntlets, and ancient nord boots. The pointy bits have a cool symmetry.

For weapons, I dual wield with those that obstruct my view by the least amount.