I agree with Lucius.
I grew up with G1/G2 but got into Beast Wars too because:
1. It offered some really cool toys. Introduced in late G2, BW popularised and further developed new levels of engineering in Transformer toys such as fully articulated robot modes (with ball & socket joints offering more natural like movement) & greater durability. Beast Wars also saw far greater detailed sculpting and paint applications (including air-brushing) making the idea of using
stickers to add detail look cheap and retarded. Beast Wars also popularised the idea of having weaponry concealed in alt mode whereas G1 and G2 often had them as loose accessories that could be easily lost.
2. The Beast Wars cartoon to date is the BEST story ever written for a Transformers television series. Things that appealed to me about the BW cartoon were...
a/ Greater consistency in world-building leading to tighter continuity and a continual story arc. Many episodes contained plot elements that were seeded to spawn off other stories in later elements (e.g.: the Vok).
b/ Characters with actual depth that you could care about, as opposed to the shallow one-dimensional archetypes that we got in the G1 cartoon. The characters also developed/evolved as the show progressed instead of always remaining static (again, as they did in the G1 toon).
c/ The stories were written at two levels - there was plenty of action and comic relief for the kids and at the same time more sophisticated elements (and even sexual innuendo) for adults - and of course, the story was linked back to G1 and G2 for the older fans! And also subtle references to Transfandom and other scifi that only more hardcore fans would notice! ("Wonko the Sane!!"). The good guys didn't always win - and quite frankly the good guys weren't always so good (e.g.: Depth Charge, a very dark anti-hero) and the bad guys weren't always so bad (e.g.: Dinobot II). Several stories brought up very serious social issues, such as "Transmutate" which explored the issues of right to life and euthanasia.
d/ Emmy-award winning animation - aside from the special effects, the animators did employ some really interesting visual effects not seen before in Transformers such as focus pulls.
e/ Greater toy-accuracy in the show models. Mainframe scanned in the toys and based their show models off those 3D scans (some more greatly modified than others).
G1 toy v show likeness

BW toy v show likeness