For GBP transfers from a UK bank, if the sending bank uses Faster Payments or CHAPS (the Clearing House Automated Payment System), it can take up to 1 day for the funds to reach your account. However, if the bank only supports BACS (the Bankers' Automated Clearing System), it can take up to 3 days.
For EUR transfers from a bank account domiciled in SEPA (the Single Euro Payments Area), it can take up to 3 working days (usually it is 1 or 2 business days). If that bank supports SEPA Instant Credit Transfer, it should be almost instantaneous.
For international transfers made via SWIFT (the Society for Worldwide Interbank Financial Telecommunication), it may take up to 5 working days for funds to reach your account.