Are there any mandatory requirements of ISO 9001:2015 like the 2008 version?

Here are the documents you need to produce if you want to be compliant with ISO 9001:2015. (Please note that some of the documents will not be mandatory if the company does not perform relevant processes.):

• Scope of the QMS (clause 4.3)
• Quality policy (clause 5.2)
• Quality objectives (clause 6.2)
• Criteria for evaluation and selection of suppliers (clause 8.4.1)

And, here are the mandatory records (note that records marked with * are only mandatory in cases when the relevant clause is not excluded):

• Monitoring and measuring equipment calibration records* (clause 7.1.5.1)
• Records of training, skills, experience and qualifications (clause 7.2)
• Product/service requirements review records (clause 8.2.3.2)
• Record about design and development outputs review* (clause 8.3.2)
• Records about design and development inputs* (clause 8.3.3)
• Records of design and development controls* (clause 8.3.4)
• Records of design and development outputs *(clause 8.3.5)
• Design and development changes records* (clause 8.3.6)
• Characteristics of product to be produced and service to be provided (clause 8.5.1)
• Records about customer property (clause 8.5.3)
• Production/service provision change control records (clause 8.5.6)
• Record of conformity of product/service with acceptance criteria (clause 8.6)
• Record of nonconforming outputs (clause 8.7.2)
• Monitoring and measurement results (clause 9.1.1)
• Internal audit program (clause 9.2)
• Results of internal audits (clause 9.2)
• Results of the management review (clause 9.3)
• Results of corrective actions (clause 10.1)