Carbon nanotube (CNT) field-effect transistors (CNFETs) promise to improve the energy efficiency of very-large-scale integrated (VLSI) systems. However, multiple challenges have prevented VLSI CNFET circuits from being realized, including inherent nanoscale material defects, robust processing for yielding complementary CNFETs (i.e., CNT CMOS: including both PMOS and NMOS CNFETs), and major CNT variations. Here, we summarize techniques that we have recently developed to overcome these outstanding challenges, enabling VLSI CNFET circuits to be experimentally realized today using standard VLSI processing and design flows. Leveraging these techniques, we demonstrate the most complex CNFET circuits and systems todate, including a three-dimensional (3D) imaging system comprising CNFETs fabricated directly on top of a silicon imager, CNT CMOS analog and mixed-signal circuits, 1 kilobit CNFET static random-access memory (SRAM) memory arrays, and a 16bit RISC-V microprocessor built entirely out of CNFETs.