Flutter multiple easy animations

main.dart

import 'package:flutter/material.dart';

void main() {
  runApp(MyApp());
}

class MyApp extends StatelessWidget {
  @override
  Widget build(BuildContext context) {
    return MaterialApp(
      home: TextAnimationScreen(),
    );
  }
}

class TextAnimationScreen extends StatefulWidget {
  @override
  _TextAnimationScreenState createState() => _TextAnimationScreenState();
}

class _TextAnimationScreenState extends State<TextAnimationScreen> {
  final List<String> texts = ["Star 1", "Star 2", "Star 3"];
  int textIndex = 0;
  bool buttonVisible = false;
  List<double> turns = [0.0, 0.0, 0.0];
  List<bool> unlocked = [false, false, false];
  int spinDuration = 4;

  void showNextText() {
    if (textIndex < texts.length) {
      setState(() {
        textIndex++;
      });
    }
  }

  @override
  void initState() {
    super.initState();

    for (int i = 0; i < texts.length; i++) {
      Future.delayed(Duration(seconds: i), showNextText);
      Future.delayed(Duration(seconds: i + 1), () {
        setState(() {
          turns[i] = 4.0;
        });
      });
    }
    Future.delayed(Duration(seconds: texts.length + spinDuration), () {
      setState(() {
        buttonVisible = true;
      });
    });
  }

  /// Evaluate whatever is needed
  evaluateStar(int index) {
    switch (index) {
      case 0:
      case 1:
        unlocked[index] = true;
    }
  }

  @override
  Widget build(BuildContext context) {
    return Scaffold(
      appBar: AppBar(
        title: const Text('Text Animation Example'),
      ),
      body: Center(
        child: Column(
          mainAxisAlignment: MainAxisAlignment.center,
          children: <Widget>[
            Expanded(
              child: ListView(
                children: <Widget>[
                  const Row(
                      mainAxisAlignment: MainAxisAlignment.center,
                      children: [
                        Text('Results',
                            style:
                                TextStyle(fontSize: 32.0, color: Colors.black))
                      ]),
                  const SizedBox(height: 10),
                  for (int i = 0; i < textIndex; i++)
                    Row(
                      mainAxisAlignment: MainAxisAlignment.center,
                      children: [
                        AnimatedRotation(
                          curve: Curves.easeOut,
                          onEnd: () {
                            setState(() {
                              evaluateStar(i);
                            });
                          },
                          duration: Duration(seconds: spinDuration),
                          turns: turns[i],
                          child: unlocked[i]
                              ? const Icon(Icons.star, color: Colors.orange)
                              : const Icon(Icons.star_border,
                                  color: Colors.grey),
                        ),
                        Text(
                          texts[i],
                          style: const TextStyle(
                              fontSize: 24.0, color: Colors.black),
                        ),
                      ],
                    ),
                  const SizedBox(height: 10),
                  if (buttonVisible)
                    Row(
                      mainAxisAlignment: MainAxisAlignment.center,
                      children: [
                        ElevatedButton(
                          onPressed: () {},
                          child: const Text('Close'),
                        ),
                      ],
                    ),
                ],
              ),
            ),
          ],
        ),
      ),
    );
  }
}

Simple example with flutter animations

See it live at dartpad