Texas
Oklahoma
Kansas (PART 1/PART 2)
Missouri
Iowa (PART 1/PART 2/PART 3)
Minnesota (PART 1/PART 2)
INTERSTATE 35E:
Texas
Minnesota (PART 1/PART 2)
INTERSTATE 35W:
Texas
Minnesota (PART 1/PART 2)
Many other interstates used to have suffixed routes, but I-35 is the only one that still has such branches. It splits into I-35E and I-35W in Dallas/Fort Worth, and again in Minneapolis/St. Paul.
I-135 in Kansas was also I-35W at one point.