Opening a similar issue here as we had at pygeos/pygeos#126.
GEOS changelog at https://github.com/libgeos/geos/blob/master/NEWS.md

This issue lists GEOS functions that could be exposed in Shapely as new public functions as well.

GEOS <= 3.8:

• GEOSOrientationIndex
• GEOSNode -> ENH: Add node function #1431
• GEOSisValidDetail
• GEOSGeomGetEndPoint
• GEOSGeomGetStartPoint
• GEOSMinimumClearanceLine -> ENH: add function minimum_clearance_line #2106
• GEOSMinimumWidth -> Add minimum_width function for GEOS minimum diameter support #2313
• GEOSRelateBoundaryNodeRule (GEOSRelatePatternMatch)
• GEOSDistanceIndexed
• GEOSSegmentIntersection
• GEOSPolygonize_valid

GEOS 3.9:

• GEOSPreparedDistance
• GEOSMaximumInscribedCircle -> ENH: add maximum_inscribed_circle (polylabel) #1307
• GEOSLargestEmptyCircle

GEOS 3.10:

• GEOSMakeValidWithParams (ENH: expose MakeValid parameters, introduced with GEOS 3.10.0 #1415)
• GEOSWKBWriter_setFlavor -> ENH: expose flavor keyword in to_wkb #1628
• GEOSConstrainedDelaunayTriangulation -> ENH: Add constrained_delaunay_triangles function #1685

GEOS 3.11:

• GEOSGeom_transformXY (Feature: transform XY #1400)
• GEOSHilbertCode (Feature: Hilbert code  #1398)
• GEOSConcaveHull (Feature: concave hulls #1296) -> ENH: Add concave_hull() function #1518
• GEOSConcaveHullOfPolygons
• GEOSPolygonHullSimplify
• GEOSPolygonHullSimplifyMode
• GEOSLineMergeDirected -> ENH: Add directed parameter to line merge #1592
• GEOSWKBReader_setFixStructure -> ENH: add option on invalid="fix" to from wkb and from wkt #2094
• GEOSWKTReader_setFixStructure (ENH: expose fix_structure keyword in WKT reader (close linestrings automatically) #1342) ->ENH: add option on invalid="fix" to from wkb and from wkt #2094

GEOS 3.12:

• GEOSPreparedIntersectsXY and GEOSPreparedContainsXY -> ENH: faster contains_xy/intersects_xy predicates special casing for point coordinates #1548
• GEOSLineSubstring
• GEOSDisjointSubsetUnion -> ENH: add disjoint_subset_union and disjoint_subset_union_all #1982
• GEOSHasM
• GEOSGeomGetM
• GEOSEqualsIdentical -> API: use equals_identical for __eq__ #1760
• GEOSOrientPolygons -> ENH: add orient_polygons #2147
• GEOSConcaveHullByLength
• GEOSCoverageIsValid, return bool -> ENH: add coverage validation function #2156
• GEOSCoverageIsValid, return invalid segments -> ENH - coverage validation: add coverage_invalid_edges and expose gap_width #2248
• GEOSCoverageSimplifyVW -> ENH: add coverage_simplify exposing topological simplification of coverages #1969
• GEOSGeom_releaseCollection

If other functions with the same signature are already exposed, adding a new GEOS function to Shapely can be quite straightforward, see #1431 as an example