Firstly, Infinite World > Budokai 3? That seems odd to me, Infinite World just felt like a watered down version of Budokai 3 to me (and I played Infinite World first.
Anyway, firstly I'm going to eliminate Raging Blast from the equation. It's not a bad game, but it's pretty much the same exact gameplay as Raging Blast 2 except that it's missing one mechanic and it's camera is much much worse. The only time I had camera problems in a DBZ games was with the original.
Burst Limit is pretty much the first Budokai updated. What I mean is the story mode plays out like it did there, with longer cutscenes inbetween the battles and it only goes to the Cell Saga. The gameplay more or less, plays out like number one just updated. There are cool differences of course, and it plays much better than Budokai. You can have a support character, and you can have these drama scenes. The drama scenes are activated if you do something specific during battle, and they are cutscenes that will help you during the battle. I don't recall a ton of variety in the cutscenes though, but I might of just not collected enough. It also has pretty much the same roster minus a few characters who've been replaced by Broly & Bardock. Gameplay-wise, it's much more fun than the original Budokai, and perhaps even Raging Blast 2 (though I prefer the Budokai style to the Budokai-Tenkaichi style, so your mileage may vary) unfortunately, there isn't much to do in the game. There are no trophies/achievements, and the lack of modes are disappointing. I ended up selling it but from memory, there was only a story, duel, and tournament mode to contend with (I don't play online, so I have no idea about that but I doubt you'll find much playing it).
Side note; both games are gorgeous. Burst Limit probably looks better but Raging Blast 2 definitely looks more like DBZ should game-wise so I'll give this one to RB2.
In fact, I'm recommending Raging Blast 2. There is no story mode, and while your mileage may vary, this is one of the games strength in my opinion as I've played the story of DBZ to death. Instead, we've got Galaxy mode, which is an extremely fun mode in my opinion. Every character in the game, which is at least forty more than in Burst Limit, has there own set of battles they have to complete. These battles normally tend to have something to do with what happened in the series, the boss battles definitely do, but they also have a bunch of what-if ones there too. Not cutscenes, just the battles but there is quite a bit of variety since there are various types of missions that accompany them. Not saying it's the king of variety but there was enough and the gameplay was fun enough to justify me completing it 100%. They also have Battle Zone mode, which is also fun to play, especially once you get to the Ultimate Zones and it get's difficult.
Character-wise there are plenty to love. Especially ones you haven't played before; Super Saiyan 3 Vegeta (introduced in RB1; there is also Super Saiyan 3 Broly, but he's underwhelming); Tarble (Vegeta's brother); Hatchiyack (main villain of an OVA that's including in the game - subbed); Android 14 & 15; & Cooler's other two henchmen. The new mechanic I mentioned that wasn't in RB1 was Raging Soul. When your hi-tension, you can enter in Raging Soul, which puts emphasis on physical attacks, as it greatly increases your strength, defense, and speed - even allowing you to do a combo you can't do outside of it (I just learned that though). You can't do super or ultimate attacks in it though, unless you equip a certain item.
So yeah, I'd go with Raging Blast 2. But I think I've provided enough information that you could make your own decision based on what sounds better to you.
