That's a great scare story from the Express.
IIRC depending on exactly which list of "adverse effects" you're talking about, it can be literally anything that resulted in someone seeing a medical professional within a certain time limit after getting a vaccine in children that has included things like swallowing things.
There are from memory several such lists that the vaccine manufacturers have to provide, or are provided by the wider medical community, one is as I say basically every time someone has sought medical attention after getting the vaccine, and one is the "actually possibly linked to the vaccine" list (discounting things like "pulled a coin out of little Sid's nose" and "broken arm"), and one is the "adjusted for probability list". If you give 1 million people a glass of water and monitor their health you'll get things like reports of miscarriages, heart attacks, strokes and the like within the following days/weeks.
The express also seems to have just copied bits from another papers report, rather than having actually looked at the original paperwork, so it's doubly dubious that they're reporting with any context.
Remember the Express does love a shock headline, and is from memory the paper that every single year goes to a guy who has basically no other clients for his "weather forecasting" service where he'll reliably predict for the paper that we're going to see 6 foot of snow, then in the summer will alternate between massive floods and "we're going to cook".