Some applications opted for using GET with request bodies as well, for better or worse. Elasticsearch comes to mind.
There have been some attempts to extend the list of http verbs to include something that fits those use cases more naturally - SEARCH and QUERY. QUERY got more traction, if I remember correctly, but I haven't heard much about it in a while.
https://www.w3.org/2012/ldp/wiki/Proposal_for_HTTP_QUERY_Ver...