Lane Proposed residential Office Park In the San Fernando Valley 's Warner Center district. Proposed market rate residential Apartments / 70,000 square foot cultural center / Designed by Archeon Group. Koreatown District Approved Office Space Condominiums. 124 FigPico Tower I 529 /. 158 Timeline of tallest buildings edit Los Angeles City Hall, shown here in 1931, was built in 1928 and was the tallest structure in the city until 1968. "New Renderings for the 41-Story 8th Figueroa Tower". Proposed Residential and office Tower / Retail / Designed by Peebles, MacFarlane, and Claridge Properties.