A new Financial District tower could reshape the Boston skyline under competing redevelopment proposals for the shuttered Winthrop Square garage.

Eight development teams are vying to change the city’s skyscraper hierarchy with a superstructure as high as 780 feet that would rival the 750-foot Prudential and 790-foot Hancock towers in the Back Bay.

The Walsh administration in February called for new proposals for the city-owned garage where former Mayor Thomas M. Menino once envisioned a 1,000-foot building. That call came after Trans Nat?ional Group — which originally planned a 1,000-foot project at the site in 2006 — had restarted city talks last fall about a smaller 740-foot project.

Trans National and a host of other well-known Boston developers submitted proposals Monday. They include:

HYM Investment Group: A public plaza amid a new 500-seat St. Anthony Shrine Church, a new Friary and Ministry Center, and a new 50,000-square-foot Boston public school. The current St. Anthony Shrine on Arch Street would be replaced with a 780-foot, 69-story tower with 700 apartments and condos.

Accordia Partners: A 750-foot tower with 140 condos, a 275-room Le Meridien hotel, retail, civic space and a public gallery.

Lend Lease Development, Hudson Group North America and Eagle Development Group: A 750-foot, 68-story tower with innovation economy offices, 156 condos, 288 apartments, a 300-room hotel, retail and a public green.

Millennium Partners: A 750-foot tower with 360 residential units atop 14 stories of office space, 41,000 square feet of retail, a market arcade “winter garden” with artisanal vendors, restaurants and performance activity that Millennium compares to Leadenhall Arcade in London’s Financial District.

Trans National Properties: A 740-foot, 54-story tower with 700,000 square feet of innovation economy offices, apartments, 100 condos, 300 hotel rooms, a retail-lined public galleria, and a Boston Public Market outpost. It would also have a 21,500-square-foot Entrepreneur Innovation Center, an Innovation Sculpture Park and Innovators Walk of Fame. It would combine the site with 133 Federal St.

Fallon Co.: Two residential buildings on a street-level retail podium: a larger 700-foot, 53-story building with 32 floors of apartments and 18 floors of condos; and a smaller 75-foot apartment building. Plans call for a galleria-style open concourse with 25,000-plus square feet for shops.

Trinity Acquisitions: A 51-story tower with 328 apartments, 261 condos, a 276-room hotel and retail.

Lincoln Property Co.: A 47-story tower with 29 floors of office space, a 250 to 300-room hotel, six floors of condos, and retail.