AnimatedList

final GlobalKey<AnimatedListState> listKey = GlobalKey<AnimatedListState>();

List<String> _items = [];

Widget _buildItem(BuildContext context, int index, animation) {
  String item = _items[index];
  return SlideTransition(
    position: Tween<Offset>(
      begin: const Offset(-1, 0),
      end: Offset.zero,
    ).animate(animation),
    child: ListTile(
      title: Text(item),
    ),
  );
}

@override
Widget build(BuildContext context) {
  return Column(
    mainAxisSize: MainAxisSize.max,
    children: <Widget>[
      Expanded(
        child: Container(
          height: double.infinity,
          child: AnimatedList(
            key: listKey,
            initialItemCount: _items.length,
            itemBuilder: (context, index, animation) {
              return _buildItem(context, index, animation);
            },
          ),
        ),
      ),
      Row(
        mainAxisSize: MainAxisSize.max,
        crossAxisAlignment: CrossAxisAlignment.center,
        children: <Widget>[
          FlatButton(
            onPressed: () {
              setState(() {
                listKey.currentState.insertItem(0, duration: const Duration(milliseconds: 500));
                _items = []
                  ..add(DateTime.now().toIso8601String())
                  ..addAll(_items);
              });
            },
            child: Text(
              "Add item to first",
            ),
          ),
          FlatButton(
            onPressed: () {
              if (_items.length <= 1) return;
              listKey.currentState.removeItem(
                0,
                (_, animation) => _buildItem(context, 0, animation),
                duration: const Duration(milliseconds: 500)
              );
              setState(() {
                _items.removeAt(0);
              });
            },
            child: Text(
              "Remove first item",
            ),
          )
        ],
      )
    ],
  );
}