I'm researching REST-Like API services for Ethereum in order to use it on our service. However, there are only a few services I could find. I'd very grateful if you could share the other services.
REST-Like API (I'm looking for these kind of services)
https://www.blockcypher.com/dev/ethereum/#introduction
https://github.com/EverexIO/Ethplorer/wiki/ethplorer-api
JSON-RPC wrapper
https://infura.io/docs/#calling-a-json-rpc-method
Memo
Best Answer
You haven't mentioned it, but there is always the basic Ethereum JSON-RPC API. It's essentially what Infura offers, but you could run it yourself. It's supported by all the main Ethereum implementations. I reccomend this route, or using something like Infura that meets this API, because then you will be able to easily switch providers and not have to rewrite the code around each API endpoint your use.
Also, a service you didn't list is Etherchain's API.