This is a slightly old list from March 2017:

Compute

• Amazon EC2: Virtual Servers in the Cloud
• Amazon EC2 Container Service: Run and Manage Docker Containers
• Amazon EC2 Container Registry: Store and Retrieve Docker Containers
• Auto Scaling: Automatic Elasticity
• AWS Elastic Beanstalk: Run and Manage Web Apps
• Amazon LightSail: Launch and Manage Virtual Private Servers
• AWS Lambda: Run your code in response to events
• AWS Batch: Run Batch Jobs at any Scale

Storage

• Amazon S3 (Simple Storage Service): Scalable Storage in the Cloud
• Amazon Glacier: Low-Cost Archive Storage in the Cloud
• Amazon EBS (Elastic Block Store): Block Storage for EC2
• Amazon EFS (Elastic File System): Managed File Storage for EC2
• AWS Storage Gateway: Hybrid Storage Integration

Database

• Amazon RDS (Relational Database Service): Managed Relational Database Service
• Amazon Aurora: High Performance Managed Relational Database
• Amazon DynamoDB: Managed NoSQL Database
• Amazon Redshift: Fast, Simple, Cost-Effective Data Warehousing
• Amazon ElastiCache: In-Memory Caching System

Migration

• Snowball: Petabyte-scale Data Transport
• AWS Application Discovery Service: Discover On-Premises Apps
• AWS Database Migration Service: Migrate Databases with Minimal Downtime
• AWS Server Migration Service: Migrate On-Premises Servers to AWS

Networking & Content Delivery

• Amazon Virtual Private Cloud (VPC): Isolate Cloud Resources
• AWS Direct Connect: Dedicated Network Connection to AWS
• Amazon Route 53: Scalable Domain Name Service
• Elastic Load Balancing: High Scale Load Balancing
• Amazon CloudFront: Global Content Delivery Network

Developer Tools

• AWS CodeCommit: Store Code in Private Git Repositories
• AWS CodeBuild: Build and Test Code
• AWS CodeDeploy: Automate Code Deployment
• AWS CodePipeline: Release Software using Continuous Delivery
• AWS X-Ray: Analyze and Debug Your Applications
• AWS Command-Line Interface: Unified Tool to Manage AWS Services

Management Tools

• AWS CloudFormation: Create and Manage Resources with Templates
• AWS Service Catalog: Create and Use Standardized Products
• Amazon CloudWatch: Monitor Resources and Applications
• AWS CloudTrail: Track User Activity and API Usage
• AWS Config: Track Resource Inventory and Changes
• AWS OpsWorks: Automate Operations with Chef
• Amazon EC2 Systems Manager: Configure EC2 Instances and On-Premises Servers
• AWS Trusted Advisor: Optimize Performance and Security
• AWS Personal Health Dashboard: Personalized View of AWS service health

Security, Identity & Compliance

• AWS Identity & Access Management (IAM): Manage User Access and Encryption Keys
• AWS Organizations: Policy-Based Management for Multiple AWS Accounts
• AWS Directory Service: Host and Manage Active Directory
• AWS Cloud Directory: Create flexible cloud-native directories
• AWS Key Management Service (KMS): Creation and Control of Encryption Keys
• AWS CloudHSM: Hardware-based Key Storage
• AWS Certificate Manager: Provision and Deploy SSL/TLS Certificates
• Amazon Inspector: Analyze Application Security
• AWS Shield: Managed DDoS Protection
• AWS Web Application Firewall (WAF): Filter Malicious Web Traffic

Analytics

• Amazon Athena: Query Data in S3 using SQL
• Amazon EMR: Hosted Hadoop Framework
• Amazon CloudSearch: Managed Search Service
• Amazon Elasticsearch Service: Run and Scale Elasticsearch Clusters
• Amazon Kinesis: Work with Real-Time Streaming Data
• Amazon QuickSight: Fast Business Analytics Service
• AWS Data Pipeline: Orchestration Service for periodic Data-Driven Workflows
• AWS Glue: Prepare and Load Data

Artificial Intelligence

• Amazon Machine Learning: Machine Learning for Developers
• Amazon Polly: Turn Text into Lifelike Speech
• Amazon Rekognition: Search and Analyze Images
• Amazon Lex: Build Voice and Text Chatbots

Mobile Services

• Amazon Cognito: User Identity and App Data Synchronization
• AWS Device Farm: Test Mobile Apps on Real Devices in the Cloud
• AWS Mobile Hub & Mobile SDK: Build, Test and Monitor Mobile Apps

Application Services

• Amazon API Gateway: Build, Deploy and Manage APIs
• AWS Step Functions: Coordinate Distributed Applications
• Amazon Elastic Transcoder: Easy-to-Use Scalable Media Transcoding

Messaging

• Amazon Simple Queue Service (SQS): Message Queue Service
• Amazon Simple Notification Service (SNS): Push Notification Service
• Amazon Simple Email Service (SES): Email Sending and Receiving Service
• Amazon Pinpoint: Push Notifications for Mobile Apps

Business Productivity

• Amazon Chime: Frustration-free meetings, video calls and chats
• Amazon WorkDocs: Enterprise Storage and Sharing Service
• Amazon WorkMail: Managed Business Email and Calendaring

Desktop & App Streaming

• Amazon WorkSpaces: Desktop Computing Service
• Amazon AppStream 2.0: Stream desktop applications to a browser

Internet of Things

• AWS IoT Platform: Connect Devices to the Cloud
• AWS Greengrass: Local Compute, Messaging, Sync for Devices
• AWS IoT Button: Cloud Programmable Dash Button

Game Dev

• Amazon GameLift: Dedicated Game Server Hosting
• Amazon Lumberyard: Free Cross-Platform 3D game engine

There's even more these days!