The home secretary wants to double the time it takes for most migrants to qualify for permanent residence.
In a joint statement, unions say donations totalling £72m to Reform UK threaten the "integrity of democracy".
The TUC says a bank surcharge should be reversed - and estimates it would raise £9bn over four years.
Archives shed light on the General Strike in 1926 when many workers walked out in solidarity with miners who were fighting wage cuts and longer hours.
The average woman employee "effectively works for 47 days of the year for free," according to the Trades Union Congress.
Trade unionist Paul Nowak says he wants to see the "closest possible" economic relationship with the EU.
The call comes amid fears the bill would be watered down as some of its key backers left the cabinet.
The TUC has urged the government to "stay on course" in delivering its employment rights bill - a major shake-up of workers' rights.
TUC boss Paul Nowak says the chancellor should not take "anything off the table" ahead of November Budget.