Third Way considers themselves "center-left", though they were widely condemned as more centrist-establishment than anything else.  Still are for the most part, as I understand it.  If you read the proposal you'll find it's quite a bit apart from Bernie even as it recognizes the party (and perhaps more importantly, the country) needs new ideas.  For instance, there's nothing about government funded higher education.  There is, in part, this:

Postsecondary education is often the largest expense a student and their family ever incur—and can provide a significant competitive edge in the digital economy—so it’s essential that they get a high-value return on their investment. Accomplishing this cannot be solved by addressing college affordability alone, but must also focus on providing modern, comprehensive quality assurances so that any student who starts college actually finishes with the necessary skills and degrees to get a well-paying job that will allow them to pay back their debt.

 And rather than a $15.00/hr. minimum wage, they discuss:

The regional minimum wage recognizes that it costs $35 to park for a day in Brooklyn and $35 to park for a month in Cumberland, MD. The regional minimum wage starts by setting a baseline national minimum wage to exactly one-half the median wage for hourly, nonsupervisory wage workers in America. In January 2018, that baseline would be $10.90 an hour. At this level, a full-time minimum wage earner would surpass the federal poverty level by more than $1,000, even before accounting for federal benefits like the EITC.

It's an interesting bunch of notions ... some worth a considerations, others a chuckle.  But I do consider a large swath of it (at least) reality based.