Aligned, densely-packed carbon nanotube metamaterials prepared using vacuum filtration are an emerging infrared nanophotonic material. We report multiple hyperbolic plasmon resonances, together spanning the mid-infrared, in individual resonators made from aligned and denselypacked carbon nanotubes. In the first near-field scanning optical microscopy (NSOM) imaging study of nanotube metamaterial resonators, we observe distinct deeply-subwavelength field profiles at the fundamental and higher-order resonant frequencies. The wafer-scale area of the nanotube metamaterials allows us to combine this near-field imaging with a systematic far-field spectroscopic study of the scaling properties of many resonator arrays. Thorough theoretical modeling agrees with these measurements and identifies the resonances as higher-order Fabry-Pérot (FP) resonances of hyperbolic waveguide modes. Nanotube resonator arrays show broadband extinction from 1.5-10 m and reversibly switchable extinction in the 3-5 m atmospheric transparency window through the coexistence of multiple modes in individual ribbons. Broadband carbon nanotube metamaterials supporting multiple resonant modes are a promising candidate for ultracompact absorbers, tunable thermal emitters, and broadband sensors in the mid-infrared. 3 Main Text Recently, large-area, densely packed, and globally aligned films of carbon nanotubes prepared using solution-based vacuum filtration have emerged as a promising material for nanophotonics [1,2]. Nanotube films have demonstrated capabilities including strong and reversible tunability via doping [3], polarization-sensitive light detection and thermal emission [1,4,5], nonlinear optics [6,7], and ultrastrong exciton-cavity coupling [8-10]. Moreover, aligned nanotube films function as optical hyperbolic metamaterials across the mid-infrared, with an effective dielectric permittivity that is negative along the nanotube alignment axis and positive in the perpendicular directions from 1.7 m-6.7 m wavelengths for highly doped films [11,12]. Like other hyperbolic materials [13-19], aligned nanotubes can support highly confined hyperbolic plasmons in nanostructures [11,20-23]. This combination of functional capabilities and hyperbolic dispersion makes aligned nanotubes a promising nanophotonic platform for emission, detection, and polarization control of light. The solution-based preparation of the films also offers unique benefits like the ability to assemble nanotubes of purified chirality [9,24] and to transfer assembled large-area films with controlled thicknesses to arbitrary substrates. An open question is whether aligned nanotube metamaterials can support multiple hyperbolic resonances. Multiple resonances at different frequencies, including higher-order modes, have been observed in metallic nanostructures [25-29]. Because of their broadband hyperbolic dispersion, carbon nanotube metamaterials offer to provide a similar capability in the mid-infrared. In this wavelength range, they have the potential to combine the active tunabi...