The major projects from 1955 to 1963 were the Livermore Advanced Research Computer (LARC) and the UNIVAC III system. Additional projects include the Univac Solid State Computer (USSC).

The USSC was originally conceived in 1952 as Univac Calculating Tabulator (UCT), which was an improvement on the UNIVAC 60 and 120 tabulators with improved calculating capability. The concept was revised to include solid state technology (magnetic amplifiers) and delivered to the United States Air Force in 1956 as the Univac 409-3. The commercial version of this computer was sold in Europe in 1957 and the US in 1959 as the USSC.

In 1955 Sperry Rand UNIVAC Division was awarded a contract to build a super-computer for the Lawrence Livermore National Laboratory (LLNL), which was at the time the University of California Radiation Laboratory (UCRL). The design for the LARC was the responsibility of the engineering operations at Philadelphia. A second LARC computer was built for the David Taylor Model Basin, and both LARCs were delivered in 1960.

Upon the completion of the LARC project, in 1961, the Philadelphia engineering operations relocated to the newly constructed Univac Engineering Center (UEC), in Whitpain Township, Blue Bell, Pennsylvania. This facility was constructed to accommodate the expanding operations at Philadelphia, and, unlike the 23rd Street facility, was custom-designed as an engineering center. The location of the UEC was determined based on the location of the center of the population density of the engineering employees. The site was selected by Phil Vincent, and purchased by Sperry Rand in 1956.

The design of the UNIVAC III system began in 1958. Possibly the most significant improvement on the UNIVAC design was the switch from vacuum tube to transistor technology. Many of the improvements made to the UNIVAC system design were drawn from the design of the LARC computer. The UNIVAC III data processing system was introduced in 1962.