捲る

1. godan verb, transitive, usually in kana to turn up; to roll up (e.g. sleeves)
2. auxiliary verb, godan verb, usually in kana to do over and over again; to do relentlessly; to do with reckless abandon; to do continuously
3. godan verb, transitive, slang, usually in kana to stage a comeback (against) (in mahjong, horse racing, etc.); to come from behind

めくる

1. godan verb, transitive, usually in kana to turn over; to turn (pages); to leaf through (a book, etc.)
2. usually in kana to tear off; to strip off; to take off; to pull off (e.g. a blanket); to pull up (e.g. floorboards); to tear up