I am using Animated List in flutter to load a list class, while adding or removing the items, the animation works but when the list is initially loaded, the animation does n
Because AnimatedList can only animate when adding/removing item in the list. You need to add each item individually by using insertItem or removeItem from AnimatedListState. One way to achieve a nice loading effect is to delay each time you insert/remove item.
Here is the code to chain Future so that each item is loaded one after another after a specified delay
var future = Future(() {});
for (var i = 0; i < fetchedList.length; i++) {
  future = future.then((_) {
    return Future.delayed(Duration(milliseconds: 100), () {
      // add/remove item
    });
  });
}
From there you can create a loadItems() method to initialize all items in the AnimatedList in initState(). Remember to update both the underlying data structure (_listItems) and AnimatedList itself for it to work.
var _listItems = [];
final GlobalKey _listKey = GlobalKey();
@override
void initState() {
  super.initState();
  _loadItems();
}
void _loadItems() {
  // fetching data from web api, local db...
  final fetchedList = [
    ListTile(
      title: Text('Economy'),
      trailing: Icon(Icons.directions_car),
    ),
    ListTile(
      title: Text('Comfort'),
      trailing: Icon(Icons.motorcycle),
    ),
    ListTile(
      title: Text('Business'),
      trailing: Icon(Icons.flight),
    ),
  ];
  var future = Future(() {});
  for (var i = 0; i < fetchedList.length; i++) {
    future = future.then((_) {
      return Future.delayed(Duration(milliseconds: 100), () {
        _listItems.add(fetchedList[i]);
        _listKey.currentState.insertItem(i);
      });
    });
  }
}
  
This is the complete example. I added 2 buttons in the app bar so you can play around with the animations
void main() => runApp(MyApp());
class MyApp extends StatelessWidget {
  @override
  Widget build(BuildContext context) {
    return MaterialApp(
      title: 'YourAwesomeApp',
      home: PageWithAnimatedList(),
    );
  }
}
class PageWithAnimatedList extends StatefulWidget {
  @override
  _PageWithAnimatedListState createState() => _PageWithAnimatedListState();
}
class _PageWithAnimatedListState extends State {
  var _listItems = [];
  final GlobalKey _listKey = GlobalKey();
  @override
  void initState() {
    super.initState();
    _loadItems();
  }
  void _loadItems() {
    // fetching data from web api, db...
    final fetchedList = [
      ListTile(
        title: Text('Economy'),
        trailing: Icon(Icons.directions_car),
      ),
      ListTile(
        title: Text('Comfort'),
        trailing: Icon(Icons.motorcycle),
      ),
      ListTile(
        title: Text('Business'),
        trailing: Icon(Icons.flight),
      ),
    ];
    var future = Future(() {});
    for (var i = 0; i < fetchedList.length; i++) {
      future = future.then((_) {
        return Future.delayed(Duration(milliseconds: 100), () {
          _listItems.add(fetchedList[i]);
          _listKey.currentState.insertItem(_listItems.length - 1);
        });
      });
    }
  }
  void _unloadItems() {
    var future = Future(() {});
    for (var i = _listItems.length - 1; i >= 0; i--) {
      future = future.then((_) {
        return Future.delayed(Duration(milliseconds: 100), () {
          final deletedItem = _listItems.removeAt(i);
          _listKey.currentState.removeItem(i,
              (BuildContext context, Animation animation) {
            return SlideTransition(
              position: CurvedAnimation(
                curve: Curves.easeOut,
                parent: animation,
              ).drive((Tween(
                begin: Offset(1, 0),
                end: Offset(0, 0),
              ))),
              child: deletedItem,
            );
          });
        });
      });
    }
  }
  @override
  Widget build(BuildContext context) {
    return Scaffold(
      appBar: AppBar(
        actions: [
          IconButton(icon: Icon(Icons.add), onPressed: _loadItems),
          IconButton(icon: Icon(Icons.remove), onPressed: _unloadItems)
        ],
      ),
      body: AnimatedList(
        key: _listKey,
        padding: EdgeInsets.only(top: 10),
        initialItemCount: _listItems.length,
        itemBuilder: (context, index, animation) {
          return SlideTransition(
            position: CurvedAnimation(
              curve: Curves.easeOut,
              parent: animation,
            ).drive((Tween(
              begin: Offset(1, 0),
              end: Offset(0, 0),
            ))),
            child: _listItems[index],
          );
        },
      ),
    );
  }
}