I go first :)
The degree symbol. (can be used in non-math ambient)
\newcommand{\degr}[0]{\ensuremath{^\circ}}
Like commenting a code section, but on the compiled text, for “less important” parts - requires xcolor package
\definecolor{codegreen}{rgb}{0.333,0.4,0.25}
\newcommand{\ccom}[1]{{\color{codegreen} #1}} % use like \mb{content}
Shorter version of \textcolor{} - requires xcolor package
\newcommand{\gr}[1]{\textcolor{green}{#1}}
For the mechanic students, signal convention for mechanics/statics on latex (still not the best, but may be helpful) - requires tikz package
\renewcommand{\smallsum}{% small version of sum (upper case sigma) symbol
\mathop{\textstyle\sum}
}
\newcommand{\moment}{ % counterclockwise positive
\mathrel{\begin{tikzpicture}[]
\node at (0,0cm) {$+$}; % Ajusting vertical position of "+"
\draw[->] (0.15,-0.2) arc (-90:90:0.2cm);
\end{tikzpicture}}%
}
\newcommand{\vforce}{ % positive for up pointing forces
\begin{tikzpicture}[]
\node {$+$};
\draw[->] (0.2,-0.2) -- (0.2,0.2);
\end{tikzpicture}
}
\newcommand{\hforce}{ % positive for right pointing forces
\begin{tikzpicture}[]
\node {$+$};
\draw[->] (-0.2,-0.2) -- (0.2,-0.2);
\end{tikzpicture}
}

Shorter version of mathbf, I use overleaf, so I can't custom the shortcuts.
\newcommand{\mb}[1]{\mathbf{#1}} % use like \mb{content} (im lazy)
input
file) - it won't fit here. Plus a hieroglyphs transliteration macro too big for an answer box. Etc. Plus 2: after a certain number (500?) an index or toc will be needed to find something easily.