Gypsy jazz is a really fun style, and a great foray into jazz harmony. Check out this rendition of 'All of Me' for some ideas of what you can do.
Delta Blues Slide
If you're interested in slide guitar, check out this viideo and don't hesitate to get in touch!
Rock and Blues
Rock is everyone's favourite style, this video showcases rock, blues, jazz and country style licks over a blues progression and a rock drum beat. If you'd like to learn rock, get in touch!
Jazz can be a niche style, but it's fun to dabble if you're an intermediate to advanced guitarist. The video is 'Giant Steps', which isn't so modern anymore, but you get the idea...
Mississippi John Hurt finger-style is a specific way of playing a kind of country style guitar, here the song is "Freight Train".