For me it was the TI-99. It was acquired sometime in the very early 1980s, as I was born in 82 and think it predated me.
My dad had all the gear shown, except for possibly the modem. The little thing between "keyboard" and the modem is actually a speech synthesizer. The whole computer was actually contained in the keyboard, and the big box was some sort of memory expansion. I'm not sure but I think it was RAM-type system memory rather than storage. The system used cartridges, but the expansion box had a floppy drive I think.