Basic gates sets

There are several basic gate sets allowing to construct any gate on a quantum gate-based computer, e.g.:

• $H$, $T$, $CNOT$ (sometimes enriched to $H$, $T$, $S$, $X$, $CNOT$)
• rotations $Rx$, $Ry$ and $Rz$ and $CNOT$
• Toffoli gate + $H$
• Fredkin gate + $H$

I am wondering whether there are any other universal sets usually used in quantum computation.