Azure Analysis Service (AAS) continues to be a great place for the tabular model.
Azure Machine Learning/Azure Cognitive Services can help you perform analysis (sentiment, etc) using social networks as sources.
For all your complex ETL processses and workflows, Azure Data Factory pipelines can really help. Using Azure Data Factory or Synapse Data Factory, you can create and schedule data-driven workflows (called pipelines) that can ingest data from disparate data stores. You can build complex ETL processes that transform data visually with data flows or by using compute services such as Azure HDInsight Hadoop, Azure Databricks, and AzureSQL Database.
This article can help you on automate the AAS portion on Azure Data Factory.
Here you will also find ways to refresh Power BI data sets using Azure Data Factory.
You can send messages and custom emails from Azure Data Factory as explained here.