[Quai]

The Opera product you are thinking of is Opera Mini. Opera Mobile is a browser running mostly on your device (except for "turbo" which optimized media trough a proxy setup, but did not, afaik, execute any of the javascript).

Opera Mini can be looked at as a browser running in the cloud, sending OBML (Opera Binary Markup Language, if I remember correctly) causing the (very thin) client to draw things on the mobile screen, like text, images, etc without having to transfer, parse, execute, flow and paint every thing on the device.

[Fnoord]

Yeah, they released countless of rebrands and versions and what not.

The equivalent on desktop would be Browsh (e.g. with terminal + Mosh), but it runs Firefox under the hood. Opera Mini is just akin to a remote browser with the result being send to the client (as a compressed picture like in RDP/VNC, or a proprietary markup language like OBML).