On the Innovation side, upper management are often risk averse which can be limiting to creativity. A project assignment system is used with some subjects perpetually re-initiated without progress due to loss of knowledge/lack of records of work carried out - this is being improved. Innovation managers don't usually progress project proposals from scientists which can be disheartening - but also familiar if working in this area of science at any company. Annual budget for department I belong too seems very small in comparison to company profit and upper management salaries.
Training is very hit and miss (no training logs or competency assessments for equipment/techniques in the department I belong to - could be kept by employee but difficult to know what is expected to be included in training without experience) which has caused issues, including equipment being damaged and needing expensive repair/replacement in the past.
Occasional lack of communication can lead to unhealthy rumours and speculation as in any company. Pay is low in Technical roles despite being 'technically lead' and work-life balance can be poor if allowed to become that way - set your boundaries early.