I love the fact that there are many styles and 'types' of writing - they are what makes reading exciting - so I looked up a few:
Gothic novel - these are tales of the macabre, fantastic and supernatural usually set amidst haunted castles and sinister landscapes such as graveyards and ruins. Reaching their height of popularity in the late 1800s and early 1900s the word 'gothic' originally implied 'medieval' but later its emphasis was upon the macabre, the medieval element being totally disregarded in many cases. The first of the true gothic novels was 'The Castle of Otranto' (1764) by Horace Walpole.
Limerick - I love these and didn't realise that the first instances occur in 1820 (The History of Sixteen Wonderful Women) and then popularised by Lear in his 'Book of Nonsense'. The name derives (allegedly) from a custom at parties where each guest sang a 'nonsense-verse' followed by a chorus containing 'Will you come up to Limerick?' Lear and Rosetti both wrote limericks, but, as they are usually a form of facetious jingle, most are anonymous.
Romance - originally from the Latin 'romanice (in the Roman language) and the word 'roman' in Old French was used to describe the popular courtly stories dealing with heroes such as Arthur, Charlemagne and Alexander. From the 15th century romances are usually in prose, during the 16th century examples were Spenser and Shakespeare's inspiration and then, of course, Romanticism in the 19th century. Used to cover sentimental novels from the 18th century onwards it is now a popular genre for paperbacks.
Sonnet - is a poem consisting of 14 lines with rhymes arranged according to a definite scheme. Milton Shakespeare and Wordsworth were adepts. Introduced to England by Wyatt and developed by Surrey, most are amatory in content. D.G. Rosetti, E.B. Browning, Milton, and Keats were also prominent.
Villanelle - is a poem consisting of five three-lined stanzas and a quatrain with only two rhymes throughout. These were usually pastoral or lyrical in nature and have been used in light verse by writers such as Lang, Dobsen, Auden and Dylan Thomas.
Find a style you fancy and have a go.