I have had both.  I feel that Corgis are more willing to please than Dachshunds.  I have trained 3 corgis to do many tricks.  They always comply and want to do what you ask.  My weenie dog wouldn't do anything you asked.  He could care less if asked him to do something;  he wasn't going to do it.  I love both dogs, but corgis are my favorite.

On a different note, I had a friend with a deaf corgi.  She was dumped beause her owner discovered she was deaf.  My friend picked her up off the side of the road and she was an amazing dog.  She learned sign language and was a wonderful dog.  The other dogs helped her some and she learned to look at her owner to get the command.  It never slowed her down.

I didn't read all the comments but, I used to have a Dorky (Dachsund & Yorkie cross) that I loved! He had the Yorkie hair so he didn't shed and he loved to go places and travel. I have a friend who raises Corgi's, my hang up on them is how much they shed.

Is there such thing as a Corkie?  Sean's aunt was given a "Yorkie" because the breeder said she couldn't have puppies.  I think it's half Corgi and half Yorkie, but she says she's all Yorkie!  Grace is slung low to the ground and twice as long as she is tall with the rounded ears.   

I have a mini dachshund and LOVE him!! He's short haired so minimal shedding. He is very well house trained, let's you know when he needs to be let out. Scratches on the door when he's ready to come back in. He's cuddly and loves to be with you any where you go. Fantastic with my kids (ages 5 and an infant). Likes to play when you are ready to. Will fetch, sits when asked. He likes to bark at the steers in the roping pen but doesn't chase them when being roped. Let's you know if strangers are approaching.  He listens well.  All around great dog. I do have to admit I admire the corgis very much and we've talked about getting one. The only set back is the thought of all that hair!