Barrel ($2.99)

Barrel is a cydia tweak that allows you to change the transitions when you flip from page-to-page on your springboard with 20 different animations. It is one of the most popular and most known tweak of all time. It does cost $2.99 however but many people, including me, think it's worth the buy.

List of animations:

 * Cube (inside)- A 3D cube-looking animation that looks like your inside a cube.
 * Cube (outside)-A 3D cube-looking animation that looks like your outside of a cube.
 * Page Slide Down-The icons seem to slide in a diagonal way down.
 * Page Slide Up-The icons seem to slide in a diagonal way up.
 * Curl and Roll Away-The icons roll up into a circle and roll away while the other icons in the next page roll into the current page.
 * Curl and Roll Away Alternate- An alternate version of Curl and Roll Away
 * Vertical Scrolling-When you slide the page, the icons go up or down.
 * Page Fade-This animation actually fades the icons and morphes into the new ones.
 * Stairs (down right)-A birds-eye view of going down stairs to the right.
 * Stairs (down left)-A birds-eye view of going down stairs to the left.
 * Page Squeeze-The icons squeeze together while going to the left or right (depending on if your sliding your finger left or right).
 * Icon Collection-The icons collect into one.
 * Icon Scatter-The icons spread out.
 * Carousel-Looks like a carousel when the bars pass you when your off it except its icons instead.
 * Flippy-The icons flip against each other.
 * Page Zoom-The icons zoom and fades away.
 * Pac-Man-The icons collect and form the pac-man character.
 * Merry-Go-Round-The icons collect that looks like a Merry-Go-Round.
 * Whirl-The icons spread out and go out in space.
 * Snake-It looks like a snake sliding in an 'S' form.

Barrel info.

 * Author: Aaron Ash (Charybdis)
 * Commercial Package ($2.99 via Paypal or Amazon Payments)
 * Compatible with iOS 3, 4, 5 and 6. (NOT FOR iPad on iOS 3.2 or lower)
 * ID: com.aaronash.barrel
 * Expanded Size: 1817 kB
 * Contact: BigBoss repo
 * Sponser: thebigboss.org
 * The package has been signed.*

Barrel description on Cydia
Compatible with iOS 3, 4, 5, and 6.

NOT FOR iPad on iOS 3.2

This tweak adds graphical effects to your icon pages as you scroll through the homescreen. In the tweak's settings, you can choose between 18 different modes. Here is the current list:

Cube (inside)

Cube (outside)

Page Slide Down

Page Slide Up

Curl and Roll Away (extremely popular!)

Curl and Roll Away Alternate

Vertical Scrolling

Page Fade

Stairs (down right)

Stairs (down left)

Page Squeeze

Icon Collection

Icon Scatter

Carousel

Flippy

Page Zoom

Pac-Man

Merry-Go-Round

Whirl

New effects are still being developed. There is also an option to turn the effects off. Configure options from your Settings app. A Barrel settings app will be added to your home screen, all settings are entirely configurable from both the Barrel app and the native Settings app.