In 2013, the German label Nipponart released a new box set of Escaflowne. The important thing: The episodes 1 to 4 and 6 & 7 are now available as regular TV Version and longer Director's Cuts. The quality of said release is enhanced as well.

 

The opening and ending match the ones from the TV Version. In other words, the quality of those is inferior to the rest of the Director's Cut episodes but that is acceptable.

 

Compared are the TV Version and the Director's Cut (both available in the German Collector's Edition box set by Dybex/Nipponart.

 

 

The sixth episode only contains 2 new scenes but those make sense. Especially the new scene with Hitomi (10:03) is a nice introduction to the subsequent  one (when Hitomi shows up in a dress). In addition  to that, several scenes have been altered for the DC. Other than that, the DC contains a few longer and also shorter scenes but that does not really matter.

At the end of the day, the DC is 123.5 seconds longer.

 

 

2.11 (2.11 TV Version)
The title of the episode pops up sooner in the DC.
no difference (because the title pops up a little later in the TV Version.)

2.16 (2.11 TV Version)
After the title of the episode, the DC contains an additional scene that shows more footage of Hitomi, Van, Merle, Allen and his crew on their way to the capital of Astoria.
93.88 sec

4:18 (2:39 TV Version)
This scene has been altered for the DC. The TV Version zooms in while the DC continues with the vessel. The sunrays are exclusively in the DC as well.
no difference

TV Version	Director's Cut

4:35 (2:56 TV Version)
And again, the scene has been altered for the DC. As a result,the DC shows more details.
no difference

TV Version	Director's Cut

4:41 (3:03 TV Version)
Now the title in the TV Version.
(no screenshots)

4:41 (3:08 TV Version)
The city has been altered and shows more details in the DC. In addition to that, the DC only zooms in a little bit - contrary to the TV Version.
no difference

TV Version	Director's Cut

8:10 (TV Version)
The castle has been altered.
no difference

TV Version	Director's Cut

10:03 (8:29 TV Version)
Additional scene in the DC. Princess Millerna speaks to a maid and orders her to perfume Hitomi and to make sure that she smells good. Footage of Hitomi taking a bath follows.
31.68 sec

14:36 (12:31 TV Version)
The Discman is slightly altered in the DC.
no difference

TV Version	Director's Cut

14:52 (12:48 TV Version)
Slightly altered scene in the DC.
no difference

TV Version	Director's Cut

15:28 (13:24 TV Version)
The pan shot across town is different.
no difference

TV Version	Director's Cut

15:42 (13:38 TV Version)
The floating fortress is more detailed in the DC.
no difference

TV Version	Director's Cut

18:02 (15:58 TV Version)
Slightly extended shot in the DC.
0.9 sec

19:56 (17:51 TV Version)
Again, the more detailed floating fortress.
no difference

TV Version	Director's Cut

20:00 (17:54 TV Version)
The DC runs with less frames per seconds which makes this shot 1.36 sec longer.
DC: 2.1 sec
TV: 0.75 sec
(Screenshot to illustrate the scene)

20:02 (17:55 TV Version)
The scene with Dilandau is shorter in the DC.
The DC is 2.2 sec shorter (screenshots from the TV Version)

20:08 (18:04 TV Version)
The DC zooms in on the action, the TV Version does not.
no difference

TV Version	Director's Cut

20:14 (18:09 TV Version)
Same here.
no difference

TV Version	Director's Cut

23:08 (21:04 TV Version)
The TV Version runs with less frames per second & the DC pans earlier to the king. As a result, the DC lacks 1.32 seconds.
(Screenshots to illustrate the scene)