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1.Author is British
Harry Potter
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Lord of the Rings
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Both
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JRR Tolkien was born in Bloemfontein, South Africa, from British parents and was British himself. JK Rowling was born in England.
2.The hero can do magic
Harry Potter
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Lord of the Rings
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Both
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Harry Potter's story begins with him learning is a wizard and going to school to learn how to do magic. Frodo Baggins lives in a world where magic exists, but he doesn't do it himself.
3.At least one of the movie adaptations won some Academy Awards
Harry Potter
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Lord of the Rings
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Both
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The Harry Potter movies were nominated several times but never won any Academy Awards. Return of the King, LOTR 3rd opus, won 11 by itself and holds the record for the most AA won by a movie alongside Ben-Hur and Titanic.
4.Author wrote other books about the same universe to expand it
Harry Potter
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Lord of the Rings
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Both
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For instance, the Silmarilion for LOTR, and Fantastic Beasts and Where to Find Them for HP
5.The hero is played by a British actor in the most-widely known cinema adaptation of the series
Harry Potter
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Lord of the Rings
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Both
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Daniel Radcliffe (Harry) is British but Elijah Wood (Frodo) is American
6.The hero is guided by a wise wizard with a long beard
Harry Potter
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Lord of the Rings
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Both
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Dumbledore for HP, Gandalf for LOTR
7.The hero is an orphan
Harry Potter
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Lord of the Rings
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Both
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Harry's parents died when he was 1, Frodo's when he was 12.
8.Author created several languages with grammar and extensive vocabulary for their universe
Harry Potter
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Lord of the Rings
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Both
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Tolkien created Quenya and Sindarin (elfic languages) with an alphabet, grammar and a dictionary, and a less-developed Dwarf language. JKR mentions invented languages like Gobbledegook spoken by Goblins and Mermish, but she didn't write anything in those languages.
9.The hero encounters a giant spider who tries and attack him
Harry Potter
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Lord of the Rings
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Both
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Aragog the Acromentula fro Harry Potter, Shelob the Great Spider for Frodo Baggins
10.All the books were written in the 1900s (XXth century)
Harry Potter
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Lord of the Rings
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Both
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Only the first 3 Harry Potter books were written by then.