one great app
On the store i have found a great app that simplifies things: it quickly scans the LAN workgroup and shows the connected computers, then you can explore shared folders from within. It's called Sharesfinder and it's the fastest on the store for this function.
However even with ES file explorer you have a scan function to scan the Lan for connected conputers, but it's slower
To access the phone like a shared folder from windows computer you can use instead Samba Filesharing (from xda! Root needed). I prefer it over airdroid and other browser-based apps