Based on CT scans, the organs are fitted into a realistic synthetic "body" and connected to pumps which mimic human breathing and blood flow.
Nottingham Trent University, with the NHS and Ministry of Defence, used silicone gels to replicate the feel of human tissue.
Bespoke models could now be created to prepare for individual operations.
Richard Arm, of Nottingham Trent University's School of Art & Design, said he was asked to come up with a heart model for a surgeon who wanted to practice performing an implant.
He said: "When making more organs, the trickiest part was the flexibility.
"The heart has 17 different 'hardnesses' so 'does it feel right?' turns out to be a bit vague.
"Then we put them together and I knew we were getting it right when I started to feel sick."
The prototype - officially known as a thoracic trauma trainer - will be exhibited to trauma treatment experts.
After feedback, two models are due to be produced for the MoD by December 2017.
Colonel Peter Mahoney, emeritus professor at Defence Medical Services, said the requirement was for training equipment that was portable, robust and reusable, while "also achieving a realism" that had only previously been possible with dead bodies.
He added: "We wanted to start with the chest, because it is a common area connected with trauma, but if it could be created with realistically-moving lungs and blood vessels then any other body parts would be possible."
Future developments could include the brain, eyes, stomach, pancreas, liver and kidneys, the vascular system in a person's legs and bespoke models for patient-specific preoperative surgical planning.

Their report has recommended sentencing statements by judges and sheriffs could be shown.
The review group, chaired by Lady Dorrian, also backed the idea of live tweeting by reporters in court.
But they said broadcasting or recording of cases involving children, sexual offences and vulnerable witnesses should not be allowed.
Lord President Lord Gill, Scotland's most senior judge, ordered the review because technology had changed dramatically in the 20 years since broadcasters were first allowed to televise some proceedings.
Three or four applications are submitted each year to film in court, but permission has rarely been given.
Lord Gill said: "I am grateful to Lady Dorrian and her group for having carried out this exercise so thoroughly.
"These well-considered recommendations have the support of the judges. I accept all of the recommendations.
"They are entirely appropriate in the contemporary world. My office will now prepare guidance on the implementation of Lady Dorrian's report."
The recommendations of the report include:
A total of 17 individuals and organisations responded to a consultation process during the preparation of the report.
The report has been welcomed by the Faculty of Advocates.
Its dean, James Wolffe QC, said: "In keeping with his vision of an open and accessible justice system - a vision which I share - the Lord President has made an important announcement about televising the courts.
"While there must be safeguards to protect the interests of justice, public understanding of the work of the courts - which is fundamental to our democracy - will be enhanced by these proposals, and I welcome them."
The Law Society of Scotland has also backed the proposals.
Fiona Robb, secretary to the Law Society of Scotland's Civil Justice Committee, said: "Used responsibly, cameras in court and the use of features like live tweeting will help to demystify the law, allowing the public to gain insight into the process and improve access to justice.
"While we have previously expressed concerns about significantly increasing the jurisdiction limit of the Court of Session and the huge impact that it is likely to have on Scotland's sheriff courts, we do believe that there will be significant improvements to the running of our courts as a result of these reforms."

The incident happened on the A923 Dundee to Coupar Angus road near Tullybaccart at about 02:30.
The 18-year-old was taken to Ninewells Hospital in Dundee but did not survive. Four other people in the car sustained minor injuries.
The road was closed for investigation work and officers are urging anyone who saw the car prior to the crash to contact them.
Diversions were in place and people travelling to the Rewind Festival in Perth were urged to allow extra time for their journey.
Life-like body parts have been 3D printed to help army surgeons deal with trauma injuries.
[NEXT_CONCEPT]
Some court cases could be shown live on television under proposals put forward by Scotland's judges.
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A teenager has died after a one-car crash on a road north of Dundee.