Live Tiles are consistent, with only three square (rectangular) sizes to pick from. The fluid scrolling through them (rather than page by page) makes it feel more spacious. I have an entire home page dedicated to Facebook, for example, because the Facebook widget that shows me updates (and only one update at a time) takes up fully half the screen. The weather widget I use takes an entire line of icons, and the calendar widget takes up two columns by three rows. It's like playing a jigsaw puzzle trying to arrange a useful "live" home screen. Live Tiles are also visually consistent, which Android widgets are not (my Android home screen looks hideous).
A Live Tile is a app shortcut that also acts as a widget by displaying useful information. An Android widget is a widget that can also link to the application. That tiny difference is a huge gap in comparison.
https://play.google.com/store/apps/details?id=net.pierrox.li...
With Lightning Launcher, you can also skip the grid altogether and freely align, scale and even rotate your widgets and zoom in and out in the launcher, if you want. It's very customizable.
There is a single "People" tile that shows me all the news from facebook and twitter in a single stream. There is another "Me" tile that shows my notifications about mentions or tags.
I think the most important thing is that tapping these doesn't feel like launching an app. I don't have to "go check facebook" and wait for it to load, and then "go look at twitter," etc. I just tap a tile, and in 4 seconds I have everything in one native-looking interface - it even honors the color scheme I picked for the phone :)