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Please add your resources to this answer!
Multilingual
- A Short Introduction to LaTeX2ε by Tobias Oetiker et al. (online, but also included in MiKTeX and TeX Live)
Bulgarian, Chinese, Czech, Dutch, English, Finnish, French, German, Italian, Japanese, Korean, Mongolian, Persian, Polish, Portuguese, Brazilian Portuguese, Russian, Slovak, Slovenian, Spanish, Thai, Turkish, Ukrainian and Vietnamese.
Czech
"Ne úplně nejkratší úvod do formátu LaTeX2ε", Czech version of "A Short Introduction to LaTeX2ε": See above in section "Multilingual".
LaTeX pro pragmatiky (2011) by Pavel Satrapa (online)
Danish
Dutch
French
German
"LaTeX2ε-Kurzbeschreibung" (2013) by Marco Daniel, Patrick "topskip" Gundlach, Walter Schmidt, Jörg Knappen, Hubert Partl and Irene Hyna, extended German version of "A Short Introduction to LaTeX2ε": See above in section "Multilingual".
Wissenschaftliche Arbeiten schreiben mit LaTeX: Leitfaden für Einsteiger (2011) by Joachim Schlosser (print/e-book; commercial)
A concise and well-thought-out introduction to LaTeX. The 4th edition also covers biblatex.
LaTeX – eine Einführung und ein bisschen mehr ... (2012) by Manuela Jürgens and Thomas Feuerstack (online, direct link)
Refreshed classic, not in all parts up to date, though!
Sequel: LaTeX – Fortgeschrittene Anwendungen, oder: Neues von den Hobbits ... (2011, direct link) by Manuela Jürgens
LaTeX-Einsteiger-Kurs (2011) by Manuel Kühner (online)
Focus on engineering, designed as a one-day course (~6h), with exercises.
LaTeX-Einführung (2012) by Matthias Pospiech
Designed as a two-day course, with exercises.
LaTeX2ε – Eine Einführung (2000) by Heiner Lamprecht (online).
Because of its age partly outdated, but still useful for an overview.
Italian
Norwegian
- LaTeX for nybegynnere (2004) by Dag Langmyhr (online, direct link)
A little bit old, and doesn't actually mention, e.g., pdflatex for PDF output.
Russian
Spanish
Swedish
Public Domain flags and globe icon by FamFamFam
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:)– doncherry Nov 26 '12 at 22:57