Sample code for having a horizontal list within a vertical list view in Flutter.

multiple-scrollables.dart

import 'package:flutter/material.dart';
import 'package:flutter/rendering.dart';

void main() => runApp(MyApp());

class MyApp extends StatelessWidget {
  @override
  Widget build(BuildContext context) {
    return MaterialApp(
      theme: ThemeData(
        primarySwatch: Colors.pink,
      ),
      home: MyHomePage(title: 'List playground'),
    );
  }
}

class MyHomePage extends StatefulWidget {
  MyHomePage({Key key, this.title}) : super(key: key);

  final String title;

  @override
  _MyHomePageState createState() => _MyHomePageState();
}

class _MyHomePageState extends State<MyHomePage> {
  List<Widget> _children = () sync* {
    yield AspectRatio(
      aspectRatio: 16 / 9,
      child: ListView(
        scrollDirection: Axis.horizontal,
        physics: const AlwaysScrollableScrollPhysics(),
        children: List.generate(12, (int index) {
          return AspectRatio(
            aspectRatio: 4 / 3,
            child: Padding(
              padding: const EdgeInsets.all(12.0),
              child: Placeholder(),
            ),
          );
        }),
      ),
    );
    yield* List.generate(
      25,
      (int index) {
        return SizedBox(
          height: 160.0,
          width: 60.0,
          child: Card(
            color: index.isEven ? Colors.purpleAccent : Colors.pinkAccent,
          ),
        );
      },
    );
  }()
      .toList();

  @override
  Widget build(BuildContext context) {
    return Scaffold(
      appBar: AppBar(
        title: Text(widget.title),
      ),
      body: ListView(children: _children),
    );
  }
}

Thanks a lot - basically the ApectRatio around the ListView is the trick. The 4/3 AspectRatio in the ListChild can be used, but it works already beforehand 👍