SELECT MIN(t.title) AS complete_downey_ironman_movie FROM complete_cast AS cc, comp_cast_type AS cct1, comp_cast_type AS cct2, char_name AS chn, cast_info AS ci, keyword AS k, kind_type AS kt, movie_keyword AS mk, name AS n, title AS t WHERE cct1.kind = 'cast' AND cct2.kind LIKE '%complete%' AND chn.name NOT LIKE '%Sherlock%' AND (chn.name LIKE '%Tony%Stark%' OR chn.name LIKE '%Iron%Man%') AND k.keyword IN ('superhero', 'sequel', 'second-part', 'marvel-comics', 'based-on-comic', 'tv-special', 'fight', 'violence') AND kt.kind = 'movie' AND n.name LIKE '%Downey%Robert%' AND t.production_year > 2000 AND kt.id = t.kind_id AND t.id = mk.movie_id AND t.id = ci.movie_id AND t.id = cc.movie_id AND mk.movie_id = ci.movie_id AND mk.movie_id = cc.movie_id AND ci.movie_id = cc.movie_id AND chn.id = ci.person_role_id AND n.id = ci.person_id AND k.id = mk.keyword_id AND cct1.id = cc.subject_id AND cct2.id = cc.status_id;