As a single combined device I might suggest that the "minisec" created by Arthur C. Clarke in the 1976 novel Imperial Earth would be a good candidate for this. I remember reading this back when it first came out and thinking how amazing it would be to have a device such as was described. Fortunately we didn't have to wait 300 years for it to arrive. :-)
To your specific point. Unlike the tricorder which did not have communications capabilities or the Dick Tracy video phone/watch which could communicate but not retrieve data, the minisec was a single combined device. All other science fiction seems to have improved individual devices. The minisec was a combined device built to fit the human hand.
To your other point. The minisec did NOT have touchscreen capabilities. But, otherwise, served almost the exact same function as a smartphone today. Right down to the protagonist not able to imagine life without one.
"Clarke describes in great detail throughout the book a personal communications device called a 'minisec' combining mobile video phone and PDA with global data connectivity. He also describes a larger desk 'comsole' or communications console giving similar access to global information services."
Other Functions listed on Technovelgy included:
The 'Sec was the standard size of all such units, determined by what can fit comfortably in the human hand. At a quick glance, it did not differ greatly from one of the small electronic calculators that had started coming into general use at the end of the twentieth century. It was, however, infinitely more versatile, and Duncan could not imagine what life would be like without it.
Because of the finite size of clumsy human fingers, it had no more controls than that of its ancestor of three hundred years earlier. There were fifty neat little studs; each, however, had an unlimited number of functions, according to the mode of operation - for the character visible on each stud changed according to the mode.
I remember the friend of the protagonist in the story storing sound recordings and music as well as other data. You mentioned games. His friend also used it to help determine how to use it in a geometric shape game.
Finally, like the smartphones today:
The device also had a dictionary function and could hold large amounts of data. It could also communicate with desktop console computers.