Your basic dragon. Nothing too special about it at all, other than the fact that it's the original powerhouse.
I'd use it either in combination with the Hieratic dragon archetype or in a deck that revolves around this card (at least 3 copies of her)
Strategies and game play:
Like I said earlier, it's a basic card. No effect to weigh it down, which means it's relatively easy to summon in any number of ways, either by the basic tributing or through effects like Kaibaman or Maiden with Eyes of Blue.
Because it's so easy to summon, you can use it to set up any kind of summon, most helpfully the Synchro summon for Azure-Eyes Silver Dragon, any rank 8 XYZ that doesn't need specific materials (unless it's Thunder End Dragon, then you just overlay and bring on the pain) Or fusion summon the Blue-Eyes archetype beatstick, Blue-Eyes Ultimate Dragon.
Combos with other cards:
If you have the right cards in hand, it's possible to go for a One-Turn-Kill. Fusion summon a Blue-eyes Ultimate Dragon, attack, then use defusion, gaining another 3 monsters to attack with during the same battle phase. Or, if you have all 3 Blue-Eyes out at the same time, use Delta Attacker (spell card: if you have 3 normal monsters with the same name (not tokens), those 3 monsters may declare direct attacks against your opponent) and swing for 9000.
Then there's the obvious combos with Maiden with Eyes of Blue, Kaibaman, White Stone of Legend, and Paladin of White Dragon. Maiden summons a Blue-eyes from your hand, deck, or graveyard whenever she's attacked OR targeted with a spell/trap effect. The downside to that is that she can only use one of those effects a turn and only once that turn.
Kaibaman can summon a Blue-eyes from your hand by tributing him, but he takes up your normal summon for the turn.
White Stone of Legend adds a Blue-eyes to your hand from your deck whenever it's sent to the graveyard (from anywhere), so it's the perfect way to search it. This card is also a tuner, so a synchro summon with a Blue-eyes on the field adds one to your hand and nets you an Azure-Eyes Silver Dragon in the process and can be used with Cards of Consonance to net you 3 cards (including Blue-eyes) instead of the usual 2.
Paladin of White Dragon is similar to Kaibaman in that it allows you to tribute it for a Blue-eyes, with the downside that said Blue-eyes can't declare an attack that turn. It's also a 1900 peircing damage monster. Downside to it is that it's a ritual monster, so you'd need it and it's ritual to summon.
Ways to counteract it:
It's a normal monster, with no effect, but high attack, so Bottomless Trap Hole would be the best defense against it. then there's the usual counter traps/anti-summon effects like Solemn Warning and Steelswarm Roach.
Incredibly easy to summon
Incredibly easy to search
Can form OTK's easily
Is fusion material for Blue-eyes Ultimate Dragon, which is needed for Dragon Master Knight
Can be used for any rank 8 XYZ that doesn't need specific material, other than Thunder End Dragon
Has Lots of support
If you're using a fusion/beatdown strategy with her, you need a full playset, taking away space for other cards
Easy to stop
Easy to overpower
As of the writing of this review, there are currently at least five different artworks for this one monster. It comes in just about every rarity, starting with common and is in just about every language that Yugioh is printed in.
Artwork and aesthetics:
The different artworks for Blue-eyes all seem to say that she's one of the most powerful dragons out there, even now with cards like Galaxy Eyes Photon Dragon seeing more play than her. But, even with the meta shying away from basic monsters, like Blue-eyes, she's still a useful card.
I'd have to give Blue-Eyes White Dragon an 8.5 out of 10. She's incredibly easy to summon, even on turn 1, she has a bit of an intimidating field presence depending on the deck, can set up an OTK/FTK under the right conditions, and has enough support to put most archetypes to shame. And she's a beautiful engine of destruction when she gets going.
NOTE: I refer to Blue-eyes as female due to the relationship between the Blue-eyes spirit and the character Kisara in the original series anime.