I frequently use Rachel Bakers BootstrapWP which is a great development theme for Responsive WordPress Design. There’s also a branch that comes with all the components of bootstrap 3. Still though no fade transition for the build in slider or carousel. This is easily fixed with a bit of CSS.

[css]
.carousel-fade .carousel-inner .item {
opacity: 0;
-webkit-transition-property: opacity;
-moz-transition-property: opacity;
-o-transition-property: opacity;
transition-property: opacity;
}
.carousel-fade .carousel-inner .active {
opacity: 1;
}
.carousel-fade .carousel-inner .active.left,
.carousel-fade .carousel-inner .active.right {
left: 0;
opacity: 0;
z-index: 1;
}
.carousel-fade .carousel-inner .next.left,
.carousel-fade .carousel-inner .prev.right {
opacity: 1;
}
.carousel-fade .carousel-control {
z-index: 2;
}
html,
body,
.carousel,
.carousel-inner,
.carousel-inner .item {
height: 100%;
}
.item:nth-child(1) {
background: silver;
}
.item:nth-child(2) {
background: red;
}
.item:nth-child(3) {
background: orange;
}
[/css]
[html]
<div id="carousel" class="carousel slide carousel-fade">
<ol class="carousel-indicators">
<li data-target="#carousel" data-slide-to="0" class="active"></li>
<li data-target="#carousel" data-slide-to="1"></li>
<li data-target="#carousel" data-slide-to="2"></li>
</ol>

<div class="carousel-inner">
<div class="active item"></div>
<div class="item"></div>
<div class="item"></div>
</div>

<a class="carousel-control left" href="#carousel" data-slide="prev">‹</a>
<a class="carousel-control right" href="#carousel" data-slide="next">›</a>
</div>
[/html]