Tall buildings often require supplemental damping as the only viable solution for serviceability issues such as excessive wind-induced lateral accelerations. Among the various supplemental damping systems available, Tuned Mass Dampers (TMDs) are one of the most compact and easier-to-maintain solutions; for instance, other dampers, such as Tuned Liquid Sloshing Dampers (TLSDs), require a large space with concrete walls and mechanical systems for water supply and drainage, as well as careful maintenance to prevent water-leakage. The supposed-to-be compact TMD design often ends up with a damper occupying a large space to accommodate pendulum systems or nested-pendulum-type systems. This paper presents Sliding-Type TMDs (S-TMDs) which can provide two(bi)-directional damping through a low-profile design (e.g. the damper rests directly on slab). Typical S-TMDs weighing less than 300 ton can be designed with linear guides, spring and dashpot dampers, whereas TMDs with heavier mass with longer building periods can better designed with multi-layered Rubber bearing supported TMDs (R-TMDs) in combination with linear guides and springs to ensure stability and lower friction. These R-TMDs are relatively taller than S-TMDs, however the height of 600 to 1,000-ton R-TMDs (for building periods of 10 to 12 seconds) are no more than 5 to 7 meters. These heights are substantially shorter than those of pendulum-type TMDs, which require a pendulum height of up to 35 m. This paper also introduces a novel system of an air-floated Mass TMD system, which can further reduce the initial static friction of the S-TMD by a floating mass using high pressure. The proposed new damper systems of S-TMD, R-TMD and air-floated TMD will make building damper design more versatile and economical.