I recently switch from custom Bash wrappers around curl to restclient.el [1]. It has similar features. Especially nice is the integration with jq for fetching specific data (or inspection of results with jq-mode). And, whoever is inclined to appreciate it, the fact that I can stay within Emacs. No need to get familiar with a new UI/UX.
There's also verb [1], which extends Org mode.