SELECT MIN(mi_idx.info) AS rating, MIN(t.title) AS movie_title FROM info_type AS it, keyword AS k, movie_info_idx AS mi_idx, movie_keyword AS mk, title AS t WHERE it.info ='rating' AND k.keyword LIKE '%sequel%' AND mi_idx.info > '5.0' AND t.production_year > 2005 AND t.id = mi_idx.movie_id AND t.id = mk.movie_id AND mk.movie_id = mi_idx.movie_id AND k.id = mk.keyword_id AND it.id = mi_idx.info_type_id;