Some other things missing in the Mobile version:
* Notification Icons that you have a building ready to collect from
* In battles, being able to hover over a unit to see its range of moving and attacking
* When moving buildings, on the Web version, you can drop a building on another building (singular), placing it and picking up the new building. You can't do this on mobile, the space must be clear.
* On Mobile you can't find out how much time is left before a Great Building will be ready to collect (on the Web version you can hover).
* On the web version, you can have multiple worlds open on tabs and rapidly shift from world to world. On Mobile you need to log out and log into your other worlds.
Some things you can do on Mobile that aren't on Web (or harder to do with the web version)
* On Mobile, you can step through your Social lists, clicking on their picture and then clicking on Aid/Visit. If you click on the left most picture, it will slide right revealing the next person. While on the web version you can 1 click to aid/visit, to shift to the next page requires moving your mouse a distance and hitting a small button. I find mobile a lot faster for this.
* On Mobile, when composing a message, you can pop up a list of your friends or neighbors, allowing somewhat easily adding them to the distribution list.