daily
The restaurant has an extensive menu and daily specials.

television, TV
There are lots of TV Christmas specials for children this year.

prime-time (esp. AmE)
Christmas, holiday (esp. AmE)
one-off (BrE)
Eric Sykes returned with this one-off special for ITV.

reunion (AmE)
the Dick Van Dyke Show reunion special

after-school (AmE)
comedy
election
one-hour, two-hour, etc.

Special is used with these nouns:
adaptation, advantage, adviser, affection, affinity, agent, ambassador, appeal, aptitude, arrangement, assignment, assistance, assistant, attachment, attention, attraction, award, blend, bond, bonus, brand, breed, care, case, category, celebration, ceremony, challenge, characteristic, charm, circumstance, class, clinic, cocktail, collection, commission, commissioner, committee, concession, condition, congratulations, consideration, constable, container, correspondent, counsel, day, delivery, diet, difficulty, discount, display, edition, education, effect, effort, election, emphasis, envoy, equipment, event, exception, exemption, exhibit, exhibition, expertise, facility, fascination, favour, favourite, feature, fitting, focus, fondness, force, friend, fund, gift, guest, honour, importance, incentive, ingredient, instruction, insurance, interest, invitation, issue, kind, knowledge, kudos, leave, library, licence, liking, measure, meeting, memento, memory, mention, menu, mission, nature, need, niche, occasion, offer, operation, outing, patrol, permission, permit, place, power, praise, prayer, precaution, preparation, presentation, privilege, prize, procedure, prominence, promotion, prosecutor, protection, provision, purpose, qualification, quality, reason, reception, recipe, recognition, reference, regard, regime, relationship, relevance, report, representative, request, requirement, resolution, responsibility, role, rule, school, section, seminar, series, session, show, significance, skill, stamp, status, stress, subject, summit, supplement, talent, task force, team, thank you, thanks, tool, train, training, treat, treatment, tribunal, tribute, trick, trip, urgency, welcome