We really don't seem to have those games anymore. The worst games that get released these days seem to be simply average, but not terrible. Perhaps something like Sunset Overdrive. The worst games we seem to see are games that have many technical problems and bugs, but these games don't seem to be what we would think of as a bad game. Many times these games have perfectly good gameplay, graphics, and sound, but maybe they crash more than a game that was programmed a little better. Dying Light would be an example of what I'm talking about. I've never played it, but it doesn't look bad at all, though it seems to be rather glitchy.
We still get the occasional stinker like Ride to Hell: Retribution, but mainly it seems like most of the truly awful games you see are on Steam, i'm talking garbage like Air Control, Day One: Garry's Incident, Guise of the Wolf, Island Light, Slaughtering Grounds, Rekoil and countless other games that make the likes of any game the critic has given low scores to masterpieces by comparison.
Dying Light doesn't look that glitchy from the videos i've seen of it(in Angry Joe's review he said he only encountered one glitch in his entire playthrough and it never crashed).
I would only apply this to console games, you can still get a lot of tosh on mobile and PC.
Agree with Captain Crunch on the 'new' kind of bad. Micro transactions, incomplete games, paywalls, etc.
The flip side is that like rule 34, if you can think of something, there is an app for that. There are more than 1.3 million apps on Android alone. So if you want a game about feeding chickens, its there.
For consoles though, barrier for entry is higher and risk to the brand is higher for failure. However, I do not think the days of shovelware or slapping on a new IP skin to a second rate retread are behind us. One company comes up with a brain training game or raise a puppy game, and bet dollars to dalmations bad xeroxes are forthcoming. The DS certainly seems to have quite the library of games of questionable quality.
GOG is another source since downloaded games, even originally good games, may be buggy or fatally flawed on your particular PC.