Two game consoles! Full back-compatibility with PS1, if you didn't already have one or were short on space or TV inputs.

Wasn't the PS3 the cheapest Blu-Ray player available at its launch? Like, it was a free console if you wanted a Blu-Ray player.

And it was cheap enough relative to its other specs that the DoD bought a ton and built a top 50 supercomputer out of them.

This I think was one of the main reasons for the ps2 success. DVD players at the time costed hundreds of dollars and were often not that good. The ps2 as one of if not the best and with backwards compatibility so you had access to the huge ps1 library.

I managed an EB Games during the Dreamcast and ps2 launches. You can’t overstate the value proposition of the ps2 as a dvd player. It made the ps2’s extra $100 over the Dreamcast completely tenable.

The second biggest reason for the success of the ps2 over the Dreamcast was that EA Sports never came to Dreamcast. Sega made the 2k series to compensate and it was definitely a good try, with some 2k titles definitely better in gameplay to their EA Sports competitor. But none of the 2k series ever sold anywhere near EA Sports.

This. You got a cheap-ass "home cinema lite" setup and a PSX retrocompatible console with it.

I wouldn't even call it "lite". The PS2 was, in terms of features, one of the best DVD players on the market at the time. Component video, DD/DTS 5.1 optical out, if you had a good quality CRT you didn't need anything better (though you might want to chip it to go region free).