What's the alternative to Azure Cloud Service (Classic)? [closed]
At this moment, there's no alternative considering the PaaS model. It's possible to use App Service, but the limitations would be a downer.
Cloud Services are far from being deprecated and the support is available on the new portal, so it's safe to assume you won't have any problems using it in the medium term.
Alternatively, you could use Virtual Machine extensions to easy deployment and configuration. See below for details:
https://azure.microsoft.com/en-us/documentation/articles/virtual-machines-extensions-features/
Update:
Azure Service Fabric is now the recommended platform to replace Cloud Services. Overall architecture remains the same and can be migrated without much effort.