Some notable examples:

(pulled from https://rosettacode.org/)

  --------------------------------
  [[ Scheme ]]
  
  (do ((i 1 (+ i 1)))
      ((> i 100))
      (display
        (cond ((= 0 (modulo i 15)) "FizzBuzz")
              ((= 0 (modulo i 3))  "Fizz")
              ((= 0 (modulo i 5))  "Buzz")
              (else                 i)))
      (newline))
  
  --------------------------------
  [[ Python ]]
  
  for i in range(1, 101):
      if i % 15 == 0:
          print("FizzBuzz")
      elif i % 3 == 0:
          print("Fizz")
      elif i % 5 == 0:
          print("Buzz")
      else:
          print(i)
  
  --------------------------------
  [[ Logo ]]
  
  to fizzbuzz :n
    output cond [ [[equal? 0 modulo :n 15] "FizzBuzz]
                  [[equal? 0 modulo :n  5] "Buzz]
                  [[equal? 0 modulo :n  3] "Fizz]
                  [else :n] ]
  end
  
  repeat 100 [print fizzbuzz #]
  
  --------------------------------
  [[ Racket ]]
  
  (for ([n (in-range 1 101)]) 
    (displayln 
      (match (gcd n 15) 
        [15 "fizzbuzz"] 
        [ 3 "fizz"] 
        [ 5 "buzz"] 
        [ _  n])))
  
  --------------------------------
  [[ Arc ]]
  
  (for n 1 100 
       (prn:check (string (when (multiple n 3) 'Fizz) 
                          (when (multiple n 5) 'Buzz)) 
                  ~empty n)) ; check created string not empty, else return n

  --------------------------------
  [[ Rust ]]
  
  fn main() {
      for i in 1..=100 {
          match (i % 3, i % 5) {
              (0, 0) => println!("fizzbuzz"),
              (0, _) => println!("fizz"),
              (_, 0) => println!("buzz"),
              (_, _) => println!("{}", i),
          }
      }
  }
  
  --------------------------------
  [[ Julia ]]
  
  for i in 1:100
      if i % 15 == 0
          println("FizzBuzz")
      elseif i % 3 == 0
          println("Fizz")
      elseif i % 5 == 0
          println("Buzz")
      else
          println(i)
      end
  end
  
  --------------------------------
  [[ Hy ]]
  
  (for [i (range 1 101)] (print (cond
    [(not (% i 15)) "FizzBuzz"]
    [(not (% i  5)) "Buzz"]
    [(not (% i  3)) "Fizz"]
    [True            i])))

  --------------------------------
  [[ Crystal ]]
  
  1.upto(100) do |v|
    p fizz_buzz(v)
  end

  def fizz_buzz(value)
    word = ""
    word += "fizz" if value % 3 == 0
    word += "buzz" if value % 5 == 0
    word += value.to_s if word.empty?
    word
  end
  
  --------------------------------
  [[ Perl ]]
  
  for my $i (1..100) {
      say $i % 15 == 0 ? "FizzBuzz"
        : $i %  3 == 0 ? "Fizz"
        : $i %  5 == 0 ? "Buzz"
        : $i;
  }
  
  --------------------------------
  [[ Ruby ]]
  
  1.upto(100) do |n|
    print "Fizz" if a = (n % 3).zero?
    print "Buzz" if b = (n % 5).zero?
    print n unless (a || b)
    puts
  end
  
  --------------------------------
  [[ Prolog ]]
  
  fizzbuzz(X) :- X mod 15 =:= 0, !, write('FizzBuzz').
  fizzbuzz(X) :- X mod  3 =:= 0, !, write('Fizz').
  fizzbuzz(X) :- X mod  5 =:= 0, !, write('Buzz').
  fizzbuzz(X) :- write(X).

  dofizzbuzz :-between(1, 100, X), fizzbuzz(X), nl, fail.
  dofizzbuzz.
  
  --------------------------------
  [[ Haskell ]]
  
  fizzbuzz :: Int -> String
  fizzbuzz x
    | f 15 = "FizzBuzz"
    | f  3 = "Fizz"
    | f  5 = "Buzz"
    | otherwise = show x
    where
      f = (0 ==) . rem x
  
  main :: IO ()
  main = mapM_ (putStrLn . fizzbuzz) [1 .. 100]
    
  --------------------------------
  [[ OCaml ]]
  
  let fizzbuzz i =
    match i mod 3, i mod 5 with
      0, 0 -> "FizzBuzz"
    | 0, _ -> "Fizz"
    | _, 0 -> "Buzz"
    | _    -> string_of_int i
   
  let _ =
    for i = 1 to 100 do print_endline (fizzbuzz i) done
    
  --------------------------------
  [[ Nix ]]
  
  let
    fizzbuzz = { x ? 1 }:
      ''
        ${if (mod x 15 == 0) then
          "FizzBuzz"
        else if (mod x 3 == 0) then
          "Fizz"
        else if (mod x 5 == 0) then
          "Buzz"
        else
          (toString x)}
      '' + (if (x < 100) then
        fizzbuzz { x = x + 1; } else "");
  in
  fizzbuzz { }
  
  --------------------------------
  [[ Elixir ]]
  
  1..100 |> Enum.map(fn i ->
    cond do
      rem(i,3\*5) == 0 -> "FizzBuzz"
      rem(i,3) == 0    -> "Fizz"
      rem(i,5) == 0    -> "Buzz"
      true             ->  i
    end
  end) |> Enum.each(fn i -> IO.puts i end)
  
  --------------------------------
  [[ J ]]
  
  (":[^:(0=#@])Fizz`Buzz;@#~0=3 5&|)"0>:i.100
  
  --------------------------------
  [[ Forth ]]
  
  : .fizzbuzz ( n -- )
    0 pad c!
    dup 3 mod 0= if s" Fizz" pad  place then
    dup 5 mod 0= if s" Buzz" pad +place then
    pad c@ if drop pad count type else . then ;
  
  : zz ( n -- )
    1+ 1 do i .fizzbuzz cr loop ;
  100 zz
  
  --------------------------------
  [[ Go ]]
  
  func main() {
      for i := 1; i <= 100; i++ {
          switch {
          case i%15==0:
              fmt.Println("FizzBuzz")
          case i%3==0:
              fmt.Println("Fizz")
          case i%5==0:
              fmt.Println("Buzz")
          default: 
              fmt.Println(i)
          }
      }
  }
  
  --------------------------------
  [[ C ]]
  
  int main (void)
  {
      int i;
      for (i = 1; i <= 100; i++)
      {
          if (!(i % 15))
              printf ("FizzBuzz");
          else if (!(i % 3))
              printf ("Fizz");
          else if (!(i % 5))
              printf ("Buzz");
          else
              printf ("%d", i);
  
          printf("\n");
      }
      return 0;
  }
  
  --------------------------------
  [[ Java ]]
  
  public class FizzBuzz {
      public static void main(String[] args) {
          for (int number = 1; number <= 100; number++) {
              if (number % 15 == 0) {
                  System.out.println("FizzBuzz");
              } else if (number % 3 == 0) {
                  System.out.println("Fizz");
              } else if (number % 5 == 0) {
                  System.out.println("Buzz");
              } else {
                  System.out.println(number);
              }
          }
      }
  }
  
  --------------------------------
  [[ Scala ]]
  
  object FizzBuzz extends App {
    1 to 100 foreach { n =>
      println((n % 3, n % 5) match {
        case (0, 0) => "FizzBuzz"
        case (0, _) => "Fizz"
        case (_, 0) => "Buzz"
        case  _     =>  n
      })
    }
  }