If you prefer slanted inequalities, some math fonts (Erewhon-Math, XCharter-Math, LatoMath, etc.) provide "features" to turn on slanted inequalities. It doesn't happen at unicode-math level but relies on a font StylisticSet feature. Here is an example with XCharter-Math.
\documentclass[a4paper,12pt]{article}
\usepackage{amsmath}
\usepackage{xcharter-otf}
\parindent=0pt
\begin{document}
\[x\leq y \quad x\geqq y \quad x \lesseqgtr y \]
\verb+\setmathfont{XCharter Math}[Style={leqslant}]+
\setmathfont{XCharter Math}[Style={leqslant}]
\[x\leq y \quad x\geqq y \quad x \lesseqgtr y \]
\end{document}
and the output:

See the fonts' documentation for more information.