The CE standards which apply will vary for any given machine. But the following list represent a "typical" set of standards which I have found to often apply to general industrial machinery:
Standards
EN 294 - Safety of Machinery - Safety Distance to prevent danger zones from being reached by the upper limbs
EN 349 - Safety of Machinery - Minimum gaps to avoid crushing parts of the human body
EN 418 - Safety of Machinery - Emergency stop equipment, functional aspects -- Principles for design
EN 457 - Safety of Machinery - Auditory danger signals -- General Requirements, design and testing
EN 563 - Safety of Machinery - Temperature of touchable surfaces. Ergonomic data to establish temperature limit values for hot surfaces
EN 626-1 - Safety of Machinery - Reduction of risk to health form hazardous substances emitted by machinery -- Part 1: Principles and specifications for machinery manufacturers
EN 811 - Safety of Machinery - Safety distance to prevent danger zones from being reached by the lower limbs
EN 842 - Safety of Machinery - Visual Danger Signals - General Requirements, design and testing
EN 953 - Safety of Machinery - General requirements for the design and construction of guards (fixed, movable)
EN 954-1 - Safety of Machinery - Safety related parts of control systems. Part 1: general principles for design.
EN 982 - Safety of Machinery - Safety requirements for fluid power systems and their components. Hydraulics.
EN 1037 - Safety of Machinery - Prevention of unexpected start-up
EN 1050 - Safety of Machinery - Principles for Risk Assessment
EN 1088 - Safety of Machinery - Interlocking devices associated with guards - Principles for design and selection
EN ISO 9614-1 - Acoustics - Determination of sound power levels of noise sources using sound intensity - Part1 Measurement at discrete points
EN 12100-1 - Safety of Machinery, Basic Concepts, General Principles for design - Basic Terminology, Methodology
EN 12100-2 - Safety of Machinery, Basic Concepts, General Principles for design - Technical Principles and Specifications
EN 500082-1 - Electromagnetic compatibility - Generic immunity standard. Part 1. Commercial & light industry.
EN 500082-2 - Electromagnetic compatibility - Generic immunity standard. Part 2. Industrial Environment.
EN 60204-1 - Safety of Machinery - Electrical equipment of machines - Part 1: General requirements
EN 61000-6-4 - Electromagnetic compatibility (EMC) - Part 6-4: Generic standards - Emission standard for industrial environments
EN 61000-6-2 - Electromagnetic compatibility (EMC) - Part 6-2: Generic standards - Immunity for industrial environments
EN 61310-1 - IEC 1310-1: Safety of machinery. Indication, marking and actuation. Part 1: requirements for visual, auditory and tactile signals.
EN 61310-2 - IEC 1310-2: Safety of machinery. Indication, marking and actuation. Part 2: requirements for marking.
ENV 1070 - Safety of Machinery - Terminology.