You should have a look at Bison 3 and its support for variants.  The following example shows how to store real objects in the stack.
The most important parts to enable variant support are:
%define api.value.type variant
...
%token <::std::string> TEXT;
%token <int> NUMBER;
%printer { yyo << $$; } <*>;
%token END_OF_FILE 0;
%type <::std::string> item;
%type <::std::list<std::string>> list;
Here is a full example, taken from Bison.
%debug
%language "c++"
%defines
%define api.token.constructor
%define api.value.type variant
%define parse.assert
%locations
%code requires // *.hh
{
#include <list>
#include <string>
typedef std::list<std::string> strings_type;
}
%code // *.cc
{
#include <algorithm>
#include <iostream>
#include <iterator>
#include <sstream>
  // Prototype of the yylex function providing subsequent tokens.
  namespace yy
  {
    static parser::symbol_type yylex ();
  }
  // Printing a list of strings.
  // Koening look up will look into std, since that's an std::list.
  namespace std
  {
    std::ostream&
    operator<< (std::ostream& o, const strings_type& ss)
    {
      o << "(" << &ss << ") {";
      const char *sep = "";
      for (strings_type::const_iterator i = ss.begin(), end = ss.end();
           i != end; ++i)
        {
          o << sep << *i;
          sep = ", ";
        }
      return o << "}";
    }
  }
  // Conversion to string.
  template <typename T>
    inline
    std::string
    string_cast (const T& t)
  {
    std::ostringstream o;
    o << t;
    return o.str ();
  }
}
%token <::std::string> TEXT;
%token <int> NUMBER;
%printer { yyo << $$; } <*>;
%token END_OF_FILE 0;
%type <::std::string> item;
%type <::std::list<std::string>> list;
%%
result:
  list  { std::cout << $1 << std::endl; }
;
list:
  /* nothing */ { /* Generates an empty string list */ }
| list item     { std::swap ($$, $1); $$.push_back ($2); }
;
item:
  TEXT          { std::swap ($$, $1); }
| NUMBER        { $$ = string_cast ($1); }
;
%%
namespace yy
{
  // The yylex function providing subsequent tokens:
  // TEXT         "I have three numbers for you."
  // NUMBER       1
  // NUMBER       2
  // NUMBER       3
  // TEXT         "And that's all!"
  // END_OF_FILE
  static
  parser::symbol_type
  yylex ()
  {
    static int stage = -1;
    ++stage;
    parser::location_type loc(0, stage + 1, stage + 1);
    switch (stage)
      {
      case 0:
        return parser::make_TEXT ("I have three numbers for you.", loc);
      case 1:
      case 2:
      case 3:
        return parser::make_NUMBER (stage, loc);
      case 4:
        return parser::make_TEXT ("And that's all!", loc);
      default:
        return parser::make_END_OF_FILE (loc);
      }
  }
  // Mandatory error function
  void
  parser::error (const parser::location_type& loc, const std::string& msg)
  {
    std::cerr << loc << ": " << msg << std::endl;
  }
}
int
main ()
{
  yy::parser p;
  p.set_debug_level (!!getenv ("YYDEBUG"));
  return p.parse ();
}
Bison actually ships with several examples, including in C++.  They should be installed on your machine, see /usr/local/share/doc/bison/examples/c++ (where /usr/local depends on your configuration).
You can browse the C++ examples online on Savannah or on GitHub.