you might be thinking about the Dodo from GTA3. it didn't have wings, but if you had enough skill, you could keep it airborne for a while. it was always easier to turn on the low grav cheat, spawn a rhino, spin the gun around and fly around that way.
Vice City had an actual flyable seaplane used in the mission to spread around candy suxx porn fliers.
PC version of VC (if you play with kb/m) has free aim with the mouse, but it's skill bad-ish because you can't shoot and fire at the same time. I only briefly looked for mods a while back and it has the usual car model replacements and whatnot. I was unable to find a proper widescreen fix for the steam version (VC by default uses vert-, which takes the 4:3 image and crops the top and bottom to fit 16:10 or 16:9 widescreen, giving you less of the game to see.)