I think what was shown in the screenshot may have been Quip <http://www.quip.com>, but I’m generally fairly happy with any spreadsheet (Google Sheets, Excel, etc). I’m not an advanced enough user to find the differences hugely irritating unless I’m swapping daily.
I’ve used a few off the peg project tracking softwares: Tracker, Basecamp, MS Project etc. I generally find they all have their strengths, but my decisions on what to use are often more forced by limitations of the company I’m working at: eg. are they hosted externally, do they integrate decently with whatever task tracking software we use, etc.