Well, I understand what you're saying about "not matching the sides" which is what happens in so many games where one side's vehicles are just the same as the others, only in different colours, but there is a rough match to Imps vs. Rebs you must admit.
TIE Fighter matches X-Wing - Only the X-Wing had torpedoes and two more laser cannons and is more heavily armoured (and has shields), but the TIE Fighter is faster and more manoeuvrable to make up for it.
TIE Bomber matches Y-Wing - both are early bombing craft, both are the same speed, both have strong hulls, but the Bomber has no shields, the Y-Wing does, and the Y-Wing has Ion Cannons, whereas the TIE Bomber has extra ordnance and is more manoeuvrable.
TIE Interceptor matches A-Wing - Both are fast, lightly armoured interceptors, (depending on who you talk to - Imp or Reb - one goes faster than the other) but the Interceptor is more manoeuvrable, but the A-Wing has shields but has weaker armour, but also has missiles which the Interceptor lacks
TIE Defender matches B-Wing - Both are second generation bombers designed with more shields, armour, and weapons in mind. The Defender is faster, but both have shields and comparable armour and manoeuvrability. The B-Wing has a slight advantage in weaponry, however, with more missiles and laser/ion cannons.