LibreOffice Base is something of an attempt at a newer Access, but unfortunately it's far from ready for production use.

Base has very solid data storage foundations (including the ability to connect to real database servers) but the UI is very buggy and is painful to fight with. Note I said 'fight with' rather than 'use.'

Base seems to have a fair bit of potential, however, if someone where to pour some money and/or time into developing it further.