Between You and The Road

Bias (Cross) Ply	Having a tire bead (area holding tire against rim), sidewall and tread like most tires, the bias tire has a series of tire ply cords (nylon or steel) that crisscross diagonally (which is what "bias" means) below the tread. This results in increased rolling resistance, higher flexibility, and a smoother ride, but also means less control at higher speeds.
Bias-Belted	Similar to bias tires, the bias-belted tires differ in having stabilizer belts (generally steel or other corded material) above the top ply layer. Bias-belted tires have a smoother ride and lower rolling resistance than bias tires and  are favored with classic cars as well as some trucks and SUVs. Bias-belted tires, however, can't compare with the performance and efficiency of radial tires.
Radial	Lower rolling resistance, higher mileage, longer tread life, better steering control, and a smoother ride at higher speeds than bias-belted tires. Construction differs from bias-belted tires in having cords that are laid at right angles to the center line of the tread and are parallel to each other, as well as stabilizer belts beneath the tread. The downside is a rougher ride at low speeds on rough roads as well as lower grip are low speeds.