Still having issues using ArduinoISP sketch to install bootloader

You can also use Nick Gammon's Programmer code, which runs on my Standalone Programmer hardware:

http://www.crossroadsfencing.com/BobuinoRev17/

Here's the chips it supports, and others could be added:

// see Atmega datasheets
const signatureType signatures [] PROGMEM = 
  {
//     signature        description   flash size   bootloader  flash  fuse
//                                                     size    page    to
//                                                             size   change

  // Attiny84 family
  { { 0x1E, 0x91, 0x0B }, "ATtiny24",   2 * kb,           0,   32,   NO_FUSE },
  { { 0x1E, 0x92, 0x07 }, "ATtiny44",   4 * kb,           0,   64,   NO_FUSE },
  { { 0x1E, 0x93, 0x0C }, "ATtiny84",   8 * kb,           0,   64,   NO_FUSE },

  // Attiny85 family
  { { 0x1E, 0x91, 0x08 }, "ATtiny25",   2 * kb,           0,   32,   NO_FUSE },
  { { 0x1E, 0x92, 0x06 }, "ATtiny45",   4 * kb,           0,   64,   NO_FUSE },
  { { 0x1E, 0x93, 0x0B }, "ATtiny85",   8 * kb,           0,   64,   NO_FUSE },

  // Atmega328 family
  { { 0x1E, 0x92, 0x0A }, "ATmega48PA",   4 * kb,         0,    64,  NO_FUSE },
  { { 0x1E, 0x93, 0x0F }, "ATmega88PA",   8 * kb,       256,   128,  extFuse },
  { { 0x1E, 0x94, 0x0B }, "ATmega168PA", 16 * kb,       256,   128,  extFuse },
  { { 0x1E, 0x95, 0x0F }, "ATmega328P",  32 * kb,       512,   128,  highFuse },

  // Atmega644 family
  { { 0x1E, 0x94, 0x0A }, "ATmega164P",   16 * kb,      256,   128,  highFuse },
  { { 0x1E, 0x95, 0x08 }, "ATmega324P",   32 * kb,      512,   128,  highFuse },
  { { 0x1E, 0x96, 0x0A }, "ATmega644P",   64 * kb,   1 * kb,   256,  highFuse },

  // Atmega2560 family
  { { 0x1E, 0x96, 0x08 }, "ATmega640",    64 * kb,   1 * kb,   256,  highFuse },
  { { 0x1E, 0x97, 0x03 }, "ATmega1280",  128 * kb,   1 * kb,   256,  highFuse },
  { { 0x1E, 0x97, 0x04 }, "ATmega1281",  128 * kb,   1 * kb,   256,  highFuse },
  { { 0x1E, 0x98, 0x01 }, "ATmega2560",  256 * kb,   1 * kb,   256,  highFuse },
      
  { { 0x1E, 0x98, 0x02 }, "ATmega2561",  256 * kb,   1 * kb,   256,  highFuse },
  
  // AT90USB family
  { { 0x1E, 0x93, 0x82 }, "At90USB82",    8 * kb,       512,   128,  highFuse },
  { { 0x1E, 0x94, 0x82 }, "At90USB162",  16 * kb,       512,   128,  highFuse },

  // Atmega32U2 family
  { { 0x1E, 0x93, 0x89 }, "ATmega8U2",    8 * kb,       512,   128,  highFuse  },
  { { 0x1E, 0x94, 0x89 }, "ATmega16U2",  16 * kb,       512,   128,  highFuse  },
  { { 0x1E, 0x95, 0x8A }, "ATmega32U2",  32 * kb,       512,   128,  highFuse  },

  // Atmega32U4 family -  (datasheet is wrong about flash page size being 128 words)
  { { 0x1E, 0x94, 0x88 }, "ATmega16U4",  16 * kb,       512,   128,  highFuse },
  { { 0x1E, 0x95, 0x87 }, "ATmega32U4",  32 * kb,       512,   128,  highFuse },

  // ATmega1284P family
  { { 0x1E, 0x97, 0x05 }, "ATmega1284P", 128 * kb,   1 * kb,   256,  highFuse  },
  
  // ATtiny4313 family
  { { 0x1E, 0x91, 0x0A }, "ATtiny2313A",   2 * kb,        0,    32,  NO_FUSE  },
  { { 0x1E, 0x92, 0x0D }, "ATtiny4313",    4 * kb,        0,    64,  NO_FUSE  },

  // ATtiny13 family
  { { 0x1E, 0x90, 0x07 }, "ATtiny13A",     1 * kb,        0,    32,  NO_FUSE },
 
   // Atmega8A family
  { { 0x1E, 0x93, 0x07 }, "ATmega8A",      8 * kb,      256,    64,  highFuse, true },

  // ATmega64rfr2 family
  { { 0x1E, 0xA6, 0x02 }, "ATmega64rfr2",  256 * kb, 1 * kb,   256, highFuse },
  { { 0x1E, 0xA7, 0x02 }, "ATmega128rfr2", 256 * kb, 1 * kb,   256, highFuse },
  { { 0x1E, 0xA8, 0x02 }, "ATmega256rfr2", 256 * kb, 1 * kb,   256, highFuse },

  };  // end of signatures