Alright, my understanding is that the big ones are Canon, Epson, Brother, and Hp.
Depending on brand and model they call them inktank/eco-tank/mega-tank/inkvestment ... and so on.
Mine is a Canon, but from what I've seen/heard Epson, and Brother have happy users as well. Honestly haven't heard from anyone using a Hp inktank so I can't say anything about it.
I bought an Epson ET "EcoTank" I believe the model is a 2711, printer/scanner combo; It was ~£200 a year or two ago, has no display so the interface is a bit rubbish, and it was a nightmare to get working since all of mine and my wife's machines run Linux, but we got there.
We print from our phones over WiFi, we print all sorts of colouring in and cards and various things for the children, it's barely 1/4 through the tanks of ink which came with it.
The print quality is _ok_, not good enough to print family photos to go in a picture frame, but good enough for an invitation to a children's birthday party etc, but I had had enough of buying printer after printer where the 3-4 weeks between needing to print would dry out the cartridge and I'd be throwing away another £40 (or fighting with 3 or 4 sets of "compatibles" until one worked.
This feels as close as it can be to how 3D printing is for me, where I can stick basically "anything" I want, with a 1.75mm diameter and a melting point below 300C into the "print head" and it'll just work.
I regret to inform you that I bought Canon Pixma with refill tank and I happy with it. I print colorful A4 every day, sometime bw pages, for two years and so far I spent like $8-12 on ink refills.
Yeah I am still working on the bottles that came in the box, family of 4 with college students that print out a lot of work.
For me it is not even the cost of the ink that bothers me the most with the ink-cartridge-printers, it is the constant complaining about Cyan cartridge being low, and then refusing to print even black and white documents, then you replace one and the next day it starts complaining about Magenta or Yellow.
With the ink-tank there is a window into the tank - and you can see how much ink is left in each tank by this fantastic AR (Actual Realty) feature.
Sorry, looks like I failed on trying to sarcasm. Im pretty happy with this printer, but somehow there always a crowd of people praising laserjet, and usually its mentally exhausting to go against crowd.
Generally speaking ink printers are regarded as a decent option for someone whose printing is predictable. Its the people who print a bunch this week and then nothing for a month or so and then another burst, who benefit from laser printers, because there's no ink to dry up. It's not that hard to find yourself in this "sweet spot" where neither print shops nor ink printers are good value for money especially if you live in a country where bureaucracy is still paper-based.
Edit; brand not important