Categorically rhymes with:
generically, geometrically, hysterically, lyrically, metaphorically, numerically, rhetorically, symmetrically, academically, acoustically, aerobically, aerodynamically, aesthetically, algebraically, alphabetically, analytically, angelically, apologetically, artistically, astronomically, athletically, authentically, automatically, basically, biologically, characteristically, chronologically, classically, cosmetically, democratically, demographically, diplomatically, dogmatically, domestically, dramatically, drastically, ecologically, economically, ecstatically, emphatically, energetically, enthusiastically, epidemiologically, ergonomically, erratically, esthetically, ethnically, euphemistically, fantastically, forensically, generically, genetically, geometrically, geopolitically, graphically, heroically, hypothetically, hysterically, ideologically, idiotically, ironically, islamically, linguistically, logically, logistically, lyrically, mechanically, metaphorically, microscopically, mock-heroically, musically, numerically, optically, organically, pathologically, phonetically, physiologically, poetically, prolifically, psychologically, publically, publicly, radically, realistically, rhetorically, rhythmically, sarcastically, spasmodically, specifically, sporadically, stoically, strategically, stylistically, symmetrically, synthetically, systematically, systemically, terrifically, thematically, theologically, tragically, typically, uncharacteristically, undiplomatically, unethically, unrealistically, vertically, volcanically, whimsically