As you can understand from the script name it needs for Battle Analyse in Travian. The feature set is:

Analyse battle
Save battle report on service http://travilog.org.ua/
Analyse page “Combat simulator”
Analyse page “Send troops”
Analyse page oasis
Copy units oasis — Only FireFox

Popularity: 10% [?]

The script is Travian Add-in for the NPC merchant. The feautres list is:

Extends the NPC merchant.
Optimizes your resources for building as much troops as possible.
Adds a link for the NPC merchant to the menu.
Changes all your resources to another one with only two clicks.
Adds a NPC link to the buildings site if you have enough [...]

Popularity: 9% [?]

There is a very nice script for travian called Resource++. Its main features are monitors for recourses overflow, which are very nice to plan your time. Watch the video to understand how how cool the script is.
At the moment, there are 4th version already available. Here how it looks:

Popularity: 28% [?]

Just small video to show, how Resource++ script works for Travian.
You need to a flashplayer enabled browser to view this YouTube video

Popularity: 14% [?]

Travian attack builder is a script which can automate sending attack waves to enemies. Its feautres are very simple:

Set up multiple waves
Automatic sending of those waves in one click
Fast and easy mass scouting
Multiple coordinates possible
The village ‘hopping’-problem is resolved
Catapult targeting available
Time the arrival of an attack.

Check it out. There are many language translations

Popularity: 35% [?]

There is a script for travian, called Travial Village Center Numbers. It is already third version out there and it worth to check out, cuz it slightly change graphic interface and show building lvls right on the village picture.
Check it out on the userscript site.
Script features list:

Window support
Background color green if building level = [...]

Popularity: 27% [?]

Here is a travian map script to download.
Short features list:

New navigation on map.
Use popup menu
Info table on map taken from travian beyond.
After 1 second check of type of a cell map
There is an opportunity of adjustment
Check all type
Hide/Show find type
Show all or only 9, 15 crop
Save 9 , 15 crop type
Hide/Show Info table
Save setting
Support karte2.php
Fine [...]

Popularity: 38% [?]

After some time playing you can encounter a problem that you need wait a lot of time to build something. At the same time, you can gain resources much more quickly. And the problem is that you will need always check your browser for a building status. That’s where travian bot can take a place. [...]

Popularity: 43% [?]