-WORK IN PROGRESS-
I tend to refer to them by their original maker in regards to the show, however since there are some designer overlap, I will distinguish similar ones by pattern.
Also I am only going to be covering ties that go with the brown suit. As of this moment I don't believe that anyone has a perfect replica of a Blue suit tie. There is of course the difference between the replica ties which are screen accurate on most accounts, and next best alternative ties. Of the possible 12 ties that David Tennant wore in his run as the 10th Doctor 4 can be easily accessed. (The fourth being the Duffer tie, although it is not the correct color)
However as time goes on and styles change, trying to find suitable stand-ins grows harder and harder.
Thus some ties are canon and some are good stand-ins for the real thing.
I am listing them in order as found in Steve Ricks tie-index.
The second canon is the Christian Lacroix tie.
On the net it might be called the Duffer tie or the Utopia tie.
And the Partners and Crime spot, which was a Massimo Dutti tie, is being held by this tie. I think I did rather well. It wasn't easy finding a light and dark blue striped tie in brown.