There are multiple ways with which you can do that, below are some ways;
Using dplyr
# Call dplyr package
library(dplyr)
# Create dataset
data <-
  data.frame(
    type = c("Action", "Thriller", "Drama", "Drama", "Romance", "Romance",
             "Comedy", "Comedy", "Comedy", "Drama", "Drama", "Drama",
             "Action", "Action", "Action", "Action", "Thriller")
  )
data %>%
  group_by(type) %>% # To count per column called type (can be dropped if there is only type column in the dataframe)
  count() # Count
# A tibble: 5 x 2
# Groups:   type [5]
# type         n
# <fct>    <int>
#   Action       5
#   Comedy       3
#   Drama        5
#   Romance      2
#   Thriller     2
Without need for package
table(data)
# data
# Action   Comedy    Drama  Romance Thriller 
# 5        3        5        2        2 
Using janitor to get percentage as well
janitor::tabyl(data$type)
# data$type n   percent
# Action 5 0.2941176
# Comedy 3 0.1764706
# Drama 5 0.2941176
# Romance 2 0.1176471
# Thriller 2 0.1176471