I have created a chrome extension which lets you drag and drop SRT file on any youtube video. You can check it out here:
https://chrome.google.com/webstore/detail/subtitles-for-youtube/oanhbddbfkjaphdibnebkklpplclomal
Now its updated to search and fetch subtitles directly from Amara and OpenSubtitles right there from the YouTube interface. Do check it out.