How to compare Amazon Web Service with Microsoft Azure

Here is a direct comparisons between the services provided by Microsoft Azure and Amazon Web Services. The list contains all the services that could be mapped as similar in actions and usage.

Microsoft Azure Amazon Web Services (AWS)
Available Regions Azure Regions AWS Global Infrastructure
Compute Services Virtual Machines (VMs) Elastic Compute Cloud (EC2)
Cloud Services Azure Websites and Apps Amazon Elastic Beanstalk
Azure Visual Studio Online None
Container Support Docker Virtual Machine Extension (how to) EC2 Container Service (Preview)
Scaling Options Azure Autoscale (how to) Auto Scaling
Analytics/Hadoop Options HDInsight (Hadoop) Elastic MapReduce (EMR)
Government Services Azure Government AWS GovCloud
App/Desktop Services Azure RemoteApp Amazon WorkSpaces Amazon AppStream
Storage Options Azure Storage (Blobs, Tables, Queues, Files) Amazon Simplge Storage (S3)
Block Storage Azure Blob Storage (how to) Amazon Elastic Block Storage (EBS)
Hybrid Cloud Storage StorSimple AWS Storage Gateway
Backup Options Azure Backup Amazon Glacier
Storage Services Azure Import Export (how to) Amazon Import / Export
Azure File Storage (how to) AWS Storage Gateway
Azure Site Recovery None
Content Delivery Network (CDN ) Azure CDN Amazon CloudFront
Database Options Azure SQL Database Amazon Relational Database Service (RDS) Amazon Redshift
NoSQL Database Options Azure DocumentDB Amazon Dynamo DB
  Azure Managed Cache (Redis Cache) Amazon Elastic Cache
Data Orchestration Azure Data Factory AWS Data Pipeline
Networking Options Azure Virtual Network Amazon VPC
Azure ExpressRoute AWS Direct Connect
Azure Traffic Manager Amazon Route 53
Load Balancing Load Balancing for Azure (how to) Elastic  Load Balancing
Administration & Security Azure Active Directory AWS Directory Service AWS Identity and Access Management (IAM)
Multi-Factor Authentication Azure Multi-Factor Authentication AWS Multi-Factor Authentication
Monitoring Azure Operational Insights Amazon CloudTrail
Azure Application Insights Amazon CloudWatch
Azure Event Hubs None
Azure Notification Hubs Amazon Simple Notification Service (SNS)
Azure Key Vault (Preview) AWS Key Management Service
Compliance Azure Trust Center AWS CLoudHSM
Management Services & Options Azure Resource Manager Amazon CloudFormation
API Management Azure API Management Amazon API Gateway
Automation Azure Automation AWS OpsWorks
Azure Batch Azure Service Bus Amazon Simple Queue Service (SQS) Amazon Simple Workflow (SWF)
Visual Studio AWS CodeDeploy
Azure Scheduler None
Azure Search Amazon CloudSearch
Analytics Azure Stream Analytics Amazon Kinesis
Email Services Azure BizTalk Services Amazon Simple Email Services (SES)
Media Services Azure Media Services Amazon Elastic Transcoder Amazon Mobile Analytics Amazon Cognitor
Other Services & Integrations Azure Machine Learning (Preview) Amazon Machine Learning
Logic Apps AWS Lambda (Preview)
Service Bus AWS Config (Preview)

It is tough to make a significant decision like picking a cloud infrastructure vendor without actually trying them out. Both Amazon and Azure  offer a free tier of service, so you do just that.