This app was mentioned in 7 comments, with an average of 14.00 upvotes
There already is a Katamari idle game for mobile. https://play.google.com/store/apps/details?id=eu.bandainamcoent.tapmykatamari&hl=en_US
Hopefully this will be a new entry in the "core" katamari series.
Not for the PS4, but the creator is making a new game for that console that looks just as trippy.
http://www.funomena.com/wattam/
Also made a mobile game: https://play.google.com/store/apps/details?id=eu.bandainamcoent.tapmykatamari&hl=en
These days your best bet is either through PSN on the PS3, or a PC emulator.
I, for one, was tickled that y'all seemed so new to the world of Idle/Clicker games ;)
If you feel like taking a step back in time, check out <strong>PROGRESS QUEST</strong>, which is the granddaddy of this genre of non-game. At least on the original PQ (no idea if it evolved into something terrible), all it would do is literally play itself, and you could look at your various stats later.
The drunken uncle of the new type of idle game - the clicker game - is arguably <strong>COOKIE CLICKER</strong>. Cookie Clicker added interactivity via infinite amounts of rapid clicking, bonuses that reward you for actually paying attention, and New Game+ restarts wherein you could go further in the game faster.
A "friend" shared Cookie Clicker with me a couple years ago... it caused me some wrist pain...
After spending a little too much time letting Cookie Clicker and derivative Flash game <strong>CLICKER HEROES</strong> run in the background while working, I eventually swore off of these games, as they pretty much seem to only exist to be sources of impatience and frustration.
... I dove in one more time a few months ago because I couldn't resist the branding behind <strong>TAP MY KATAMARI</strong> ... and after a week, my arm was sore from all the tapping and I had to say goodbye. TMK did a far worse job of "playing itself" than other idle games, and it's a real shame because I absolutely adore the Prince of all Cosmos.
So to the Bakemeaters I ask: Are these even games? I'd love to see a roundtable discussion about that. Or maybe a Molasses Round: Un-gamify a game by turning it into an idle or clicker.
I'm currently playing Happy Sandwich Cafe and it has video ads. What I like about it is you have a choice not to view it. It's not intrusive. Tap Titan and Tap my Katamari has video ads as well.
edit: added links
edit 2: bot failed me. added links again.
paste this link there https://play.google.com/store/apps/details?id=eu.bandainamcoent.tapmykatamari