Technically, the easiest legal way to play Wrath of the Lamb "online" is via Steam. While the gameplay is offline, Steam requires a connection to download and authenticate.
Because the original Flash game supports local co-op (player 2 controls a flying baby), you can use Parsec or Steam Remote Play Together to trick the game into thinking you are on the same couch. Binding Of Isaac Wrath Of The Lamb Online -
The persistence of the keyword "Wrath of the Lamb Online" tells us something important about game preservation. Rebirth is objectively better technically, but many players feel it lost the "soul" of the original. Technically, the easiest legal way to play Wrath
The Flash version of Isaac is glitchy. The framerate drops when there are too many tears on screen. The hitboxes are weird. But it feels dangerous. The lack of polish makes the horrors more visceral. Because the original Flash game supports local co-op
Furthermore, Wrath of the Lamb represents a specific time in indie gaming (2011-2013) where developers were experimenting wildly. It was the Dark Souls of Flash games.
Modern streamers often hunt for "online" versions of this game to do "Viewer Challenge Runs" via screen share, or to revisit the original soundtrack (composed by Danny Baranowsky) which many argue is superior to the Ridiculon soundtrack of Rebirth.
Yes, you can still buy and play the original Flash-based Isaac and its DLC.