Anno 1701

What works

-Installing the game
-Playing the game
-Starting the game from a regular desktop-shortcut, using a workaround.

There is an error towards the end of the installation. A dialog pops up with the message: Runtime Error (at 69:786)

This doesn't matter though, the game is installed with all its files, as far as I can tell,
so you can save yourself the use of the innoextract tool mentioned in other comments.

What does not

The game can't be launched by simply running "wine Anno1701.exe"

If I run the .exe, then I only get a black screen and nothing happens.

Workarounds

I figured out a workaround for the black screen issue that many people reported having.
I also figured out why some people had the black screen issue and others didn't...

So, for some reason, starting the Anno_1701.exe directly won't work and will result in nothing, but black screen.
But I realized that it did work for the desktop shortcuts that can be created during installation.

I looked at how those shortcuts executed the game and realized
that this is how the game has to be started to avoid the black scren issue:

env WINEPREFIX="/path/to/annoWinePrefix" wine C:\\windows\\command\\start.exe /Unix "/path/to/annoWinePrefix/drive_c/GOG Games/Anno 1701 AD/Anno1701.exe"

The same goes for the Add-On and the World Editor.

Command for the Add-On:

env WINEPREFIX="/path/to/annoWinePrefix" wine C:\\windows\\command\\start.exe /Unix "/path/to/annoWinePrefix/drive_c/GOG Games/Anno 1701 AD/Anno1701AddOn.exe"

Command for the World Editor:

env WINEPREFIX="/path/to/annoWinePrefix" wine C:\\windows\\command\\start.exe /Unix "/path/to/annoWinePrefix/drive_c/GOG Games/Anno 1701 AD/WorldEditor.exe"

I have no idea what the difference is between 

wine /path/to/.exe 

compared to using

 ...start.exe /Unix /path/to/.exe

but it made all the difference for starting this game.
If someone can explain it, please comment, I would like to know what's going on here.

I would suggest using the commands in a desktop shortcut.
Then all you have to do is double-click on it, like in windows.
You can even add the original icons to the shortcut.

I also used: 

winetricks d3dx9_29 corefonts

corefonts fixed an issue with font rendering in the game, but I don't know if d3dx9_29 is really needed.

What was not tested

-Multiplayer

-In-depth use of the game and the world editor

Hardware tested

Graphics:

• GPU: Nvidia
• Driver: proprietary

Additional Comments

I love this game, I'm so glad to have it on GOG and now even working on Linux :D

On Medium settings I'm getting smooth fps.

-System Specs-
Laptop Model: Acer Aspire V3-471G
RAM: 8.00 GB
Processor: 64-bit Intel Core i7-3630QM @ 2.40GHz
GPU: Nvidia 640M

Issue: Black Screen

To start the game you cannot do:

wine /path/to/Anno1701.exe

It will only give you a black screen.

Solution: Command for a Desktop Shortcut

You must use this command to start the game correctly:

env WINEPREFIX="/path/to/annoWinePrefix" wine C:\\windows\\command\\start.exe /Unix "/path/to/annoWinePrefix/drive_c/GOG Games/Anno 1701 AD/Anno1701.exe"

The command can be put in a desktop shortcut for convenience.

Solution 2: Use 'cd' before running the game

Aternatively the game can also be started correctly, if you cd into the install directory first.

Bash Script to start the game:

#!/bin/bash
cd "/path/to/annoWinePrefix/drive_c/GOG Games/Anno 1701 AD/"
env WINEPREFIX="/path/to/annoWinePrefix" wine Anno1701.exe