<input type="radio" name="radiogroup" id="radiogroup1" class="radiogroup" value="Anime" data-url="https://site.ru/anime" />Anime
<input type="radio" name="radiogroup" id="radiogroup2" class="radiogroup" value="Comedy" data-url="https://site.ru/comedy" />Comedy
<input type="radio" name="radiogroup" id="radiogroup2" class="radiogroup" value="Horror" data-url="https://site.ru/horror" />Horror

<a id="url" href="" target="_blank">Добавить</a>

a {
  display: block;
  width: 100px;
  text-align: center;
  text-decoration: none;
  margin-top: 20px;
  padding: 10px 15px;
  backgorund: #fff;
  border: 2px solid #484848;
  color: #484848;
  transition: 0.5s all ease;
}
a:hover {
  background: #484848;
  color: #fff;
}

$('.radiogroup').change(function(e) {
  const $this = $(this), $link = $("#url");
  $link.html($this.val());
  $link.attr("href", $this.attr("data-url"));
});