The Collaborative International Dictionary of English v.0.48:

Fleshy \Flesh"y\, a. [Compar. Fleshier; superl. Fleshiest.]
   1. Full of, or composed of, flesh; plump; corpulent; fat;
      gross.
      [1913 Webster]

            The sole of his foot is fleshy.       --Ray.
      [1913 Webster]

   2. Human. [Obs.] "Fleshy tabernacle." --Milton.
      [1913 Webster]

   3. (Bot.) Composed of firm pulp; succulent; as, the
      houseleek, cactus, and agave are fleshy plants.
      [1913 Webster]

WordNet (r) 3.0 (2006):

fleshy
    adj 1: usually describes a large person who is fat but has a
           large frame to carry it [syn: fleshy, heavy,
           overweight]
    2: of or relating to or resembling flesh [syn: fleshy,
       sarcoid]

Moby Thesaurus II by Grady Ward, 1.0:

70 Moby Thesaurus words for "fleshy":
   adipose, baccate, beefy, big-bellied, bloated, blowzy, bosomy,
   brawny, burly, buxom, chubby, chunky, corpulent, distended, doughy,
   dumpy, fat, fattish, flabby, full, gross, heavy, heavyset, hefty,
   hippy, imposing, lusty, macerated, masticated, meaty, mushy, obese,
   overweight, pasty, paunchy, pithy, plump, podgy, portly,
   potbellied, pudgy, puffy, pulpal, pulpar, pulped, pulplike, pulpy,
   pursy, roly-poly, rotund, soft, spongy, square, squashy, squat,
   squatty, squelchy, squishy, stalwart, stocky, stout, strapping,
   succulent, swollen, thick-bodied, thickset, top-heavy, tubby,
   weighty, well-fed